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Dr. Anil Kumar Dubey

Associate Professor

anil.dubey@bitdurg.ac.in, anilkumardby70@gmail.com

Dr. Anil Kumar Dubey is an Associate professor at the department of applied mathematics, BIT, Durg, India. The area of research interest are in Functional Analysis, Mathematical Economics and the Space of Fractals. He has published92research papers in various national and international journals. He has been awarded Ph. D. degree by Dr. C. V. Raman University, Bilaspur in the year 2014. In addition to this he has 5 years work experience in Uniworth Textiles Ltd. and 12 years work experience in Aditya Birla Nuvo Ltd.

Dr. Anil Kumar Dubey

Employee ID 10250
Date of Joining 03-02-2011
Nature of Association Regular
Department Applied Mathematics
Designation Associate Professor
Educational Qualification Ph.D.(Functional Analysis), M. Sc. (Mathematics), B. Sc(PCM)
E-Mail anil.dubey@bitdurg.ac.in, anilkumardby70@gmail.com
Contact Number Extension no. 218, Global directory no.8268
Areas of Interest

• Fixed Point Theory in Metric Space, Cone Metric Space, TVS valued Cone Metric Space, Complex valued b-Metric Space • Applications of Fixed Point Theory in Mathematical Economics and the Space of Fractals • Iterative Fixed Point Theorem

Publications

    Papers in Journals

    Conferences paper (Full length)

    Books

    Book chapter

    National

    International

    National

    International

    12

    80

    05

    01

    01

     

    Total: 92

    Total: 06

     

     

    Details of Publications:

    (a). Research Papers Published (National/ International Journal)

    1. Anil Kumar Dubey, A. Narayan  and  R. P. Dubey, Existence of Maximal elements and Equilibria for pair of  maps in  Frechet  Spaces, International Journal of Mathematical Sciences and Engineering Applications(IJMSEA),Vol. 5, No.II (March 2011),pp 267-271(Impact Factor:0.5250).
    2. Anil Kumar Dubey,A. Narayan  and  R.P.Dubey, Maximal elements and pair of Generalized Games in Locally convex Topological vector spaces, International Journal of Mathematical Sciences and Engineering Applications(IJMSEA),Vol. 5,No.III,(May 2011),pp 371-380(Impact Factor:0.5250).
    3. Anil Kumar Dubey,A. Narayan  and  R.P.Dubey, Fixed Points, Maximal elements and Equlibria of  Generalized Games, International Journal of Pure and Applied Mathematics(IJPAM), Vol 75, No.4 (2012), pp 413-425, SCOPUS Indexed Journal (Impact Factor:0.252).
    4. Anil Kumar Dubey and A. Narayan , An Extension to Ishikawa iterations method for Multi-valued Mappings, International Journal of  Mathematics and applications(IJMA) ,Vol 4, No. 2(Dec 2011), pp 151-158.
    5. Anil Kumar Dubey,A. Narayan  and N.K.Singh, On Common - fixed point for pair of maps on Uniform spaces, International Journal of Mathematical Sciences and Engineering Applications(IJMSEA), Vol. 5, No.VI  (Nov 2011), pp 417-419(Impact Factor:0.5250).
    6. Anil Kumar Dubey, A.Narayan ,Fixed Point and maximal element theorems with applications to generalized abstract economies, International Journal of  Pure and Applied Mathematics (IJPAM), Vol 78, No.6(2012), pp 917-929, SCOPUS Indexed Journal (Impact Factor:0.252).
    7. Anil Kumar Dubey and A. Narayan ,On Multivalued f-non expansive three maps, The Journal of the Indian Academy of Mathematics (JIAM),Vol 34,No 2(2012),pp 427-430.
    8. Anil Kumar Dubey and A. Narayan , Fixed points of operators with random solutions in uniformly convex Banach spaces, The Journal of the Indian academy of mathematics(JIAM), Vol 35 ,No 1(2013), pp 13-18.
    9. Anil Kumar Dubey, A.Narayan ,Cone metric spaces and fixed point theorems for pair of contractive maps, Mathematica Aeterna (MI),Vol 2,no10(2012), pp 839-845(Impact Factor:1.0592).
    10.  Anil Kumar Dubey,Rita Shukla and  R.P.Dubey ,An extension of the paper “Cone metric spaces and fixed point theorems of contractive mappings”, International Journal of Applied Mathematical Research (IJAMR),Vol.2, no.1 (2013), pp 84-90(Impact Factor:0.7578).
    11.  Anil Kumar Dubey,A. Narayan  and  R.P.Dubey ,Common fixed point of multifunctions theorems in Cone metric spaces, International Journal of Applied Mathematical Research(IJAMR),Vol. 2,no.1 (2013), pp 128-133(Impact Factor:0.7578).
    12.  Anil Kumar Dubey, Rita Shukla  and  R.P.Dubey ,Cone metric spaces and fixed point theorems of generalized T-Zamfirescu mappings, International Journal of Applied  Mathematical Research(IJAMR),Vol. 2,no.1(2013), pp 151-156(Impact Factor:0.7578).
    13. Anil Kumar Dubey, A.Narayan, Common fixed point theorems for contractive multifunctions, International Journal of Pure and Applied Mathematics (IJPAM), Vol.82, No.2 (2013), pp 213-220, SCOPUS Indexed Journal  (Impact Factor:0.252).
    14.  Anil Kumar Dubey,  S. K. Tiwari  and  R. P. Dubey , Common fixed point theorems  for T-Weak contraction mapping in  a Cone metric space,    Mathematica Aeterna (MI), Vol.3, no.2 (2013), pp137-147 (Impact  Factor:1.0592).
    15.  Anil Kumar Dubey, Reena Shukla  and  R.P.Dubey ,Common fixed point  theorems for generalized contractive mappings on Cone metric spaces, International  Journal of Applied Mathematical Research (IJAMR),Vol. 2, no.2 (2013), pp 269-273 (Impact Factor:0.7578).
    16.  Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey , Some common fixed point  results for expansive mappings in a Cone metric space, IOSR Journal of Mathematics(IOSR-JM),Vol. 6, no.1 (Mar-Apr 2013), pp 59-61, UGC Approved Journal (Impact Factor:1.312).
    17.  Anil Kumar Dubey, A. Narayan ,Generalized Kannan fixed point theorem on complete metric spaces depended an another function, South Asian Journal of Mathematics(SAJM),Vol. 3, no.2 (2013), pp119-122.
    18.  Anil Kumar Dubey, S.K.Tiwari and  R.P.Dubey ,Cone metric spaces and fixed point theorems of generalized T-Contractive mappings, International Journal of Pure and Applied Mathematics (IJPAM),   Vol.84, no.4(2013), pp353-363,http://dx.doi.org/10.12732/ijpam.v84i4.5 SCOPUS Indexed Journal (Impact Factor:0.252).
    19.  Anil Kumar Dubey, A. Narayan and R.P.Dubey ,Generalized K-Iterated function system,Gen. Math. Notes (GMN),Vol. 15, no.1 (2013), pp16-27(Impact Factor:0.425).
    20.  Anil Kumar Dubey, A.Narayan, Maximal elements and pair of generalized games for U-majorized and condensing correspondences,  Nonlinear Functional Analysis and Applications (NFAA), Vol.18, No.2 (2013),pp 259-267, SCOPUS Indexed Journal.
    21. Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey ,Common fixed point results in cone metric spaces, International Journal of Applied Mathematical Research(IJAMR),Vol. 2, no.3 (2013), pp 352-355(Impact Factor:0.7578).
    22. Anil Kumar Dubey, S. K. Tiwari and R. P. Dubey, Common fixed point theorem in cone metric spaces for generalized T-Contraction maps, International Journal of Mathematical Archive (IJMA),Vol. 4, no.6 (2013), pp 45-49, UGC Approved Journal.
    23.  Anil Kumar Dubey, Reena Shukla and R.P.Dubey ,Common fixed point theorems for T-Reich contraction mapping in cone metric spaces, Advances in Fixed Point Theory(AFPT), Vol. 3, no.2 (2013), pp 315-326. (Impact Factor:0.421).
    24.  Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey ,Cone metric spaces  and  fixed point theorems of generalized T-Kannan contractive mappings, American Journal of Mathematics and Mathematical Sciences (AJMMS), Vol. 2, no.1 (Jan-June 2013), pp 31-37.
    25.  Anil Kumar Dubey, Reena Shukla and  R.P.Dubey ,Cone metric spaces  and  common fixed point theorems for certain  contractive mappings, International Journal of Pure and Applied Mathematics(IJPAM ),Vol. 87, no.3 (2013), pp 431-441, doi: http:// dx.doi.org/10.12732/ijpam.v87i3.7SCOPUS Indexed Journal (Impact Factor:0.252).
    26.  Anil Kumar Dubey, Rita Shukla  and  R.P.Dubey ,Common fixed point theorem for generalized T-Hardy-Rogers contraction mapping in a cone metric space, Advances in Inequalities and Applications(AIA),Vol. 2014, no.18(2014), pp 1-16(Impact Factor:0.17).
    27.  Anil Kumar Dubey, Reena  Shukla and  R.P.Dubey, Cone metric spaces and fixed point results of generalized contractive mappings, Advances in Fixed Point Theory(AFPT),Vol. 3, no.3 (2013), pp 568-577 (Impact Factor:0.421).
    28.  Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey ,Cone metric spaces and common fixed point theorems for generalized multivalued mappings, International Journal of Innovative Research in Science, Engineering and Technology(IJIRSET),Vol.2,Issue 10.Oct 2013,pp 5829-5837, UGC Approved Journal (Impact Factor:1.682). 
    29.  Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey , Cone metric space and common fixed point theorems for generalized Jaggi and Dass-Gupta contractive mappings, International Journal of Mathematical  Archive (IJMA),Vol.4,no.10 (2013), pp 93-100, UGC Approved Journal.
    30. Anil Kumar Dubey, Reena Shukla and  R.P.Dubey ,Some fixed point results in Dislocated Quasi-Metric space, International Journal of Mathematics Trends and Technology (IJMTT),Vol.9, no.1(May 2014), pp 103-106, UGC Approved Journal (Impact Factor:0.462).
    31.  Anil Kumar Dubey, Reena Shukla and  R.P.Dubey ,On generalization of some common fixed point theorems for multivalued maps in Cone metric spaces, Journal of Mathematical and Computational Sciences (JMCS),Vol. 4, no.2 (2014), pp 416-424(Impact Factor:0.30).
    32.  Anil Kumar Dubey, Reena Shukla and  R.P.Dubey ,Fixed point theorems for pair of Weak contractions in Cone metric spaces, International Journal of Pure and Applied Mathematical Sciences (IJPAMS),Vol. 7, no.1 (2014), pp 55-59.
    33.  Anil Kumar Dubey, Rita Shukla  and  R.P.Dubey ,Some Common fixed point theorems in Cone Banach Spaces, International Journal of Pure and Applied Mathematical Sciences(IJPAMS),Vol. 7, no.1 (2014), pp 77-84.
    34.  Anil Kumar Dubey, Rita Shukla and R.P.Dubey, Some fixed point results in b-Metric spaces, Asian Journal of Mathematics and Applications (AJMA),Vol. 2014, Article ID ama0147 , pp 1-6.
    35.  Anil Kumar Dubey, Rita Shukla and R.P.Dubey ,Some Common fixed point results of three self-mappings in cone metric spaces, Journal of Advances in Mathematics(JAM),Vol. 7, no.3 (2014), pp 1277-1284 (Impact Factor:1.296).
    36.  Anil Kumar Dubey, S.K.Tiwari  and  R.P.Dubey ,Cone metric space and some fixed point results for pair of expansive mappings, Gen. Math. Notes (GMN),Vol. 19, no.2 (2013), pp 1-9 (Impact Factor:0.425).
    37.  Anil Kumar Dubey, Rohit Verma  and  R.P.Dubey ,Common fixed point theorem for three mappings in cone metric spaces, International Research Journal of Pure Algebra(IRJPA),Vol. 4, no.2 (2014), pp 393-397 (Impact Factor:0.80).
    38.  Anil Kumar Dubey, Rohit Verma  and  R.P.Dubey ,Common fixed point theorems for pair of multivalued maps in cone metric spaces, Journal of Global Research in Mathematical Archives(JGRMA),Vol. 1, no.10 (Oct 2013), pp 39-45, UGC Approved Journal.
    39. Anil Kumar Dubey, Rohit Verma  and  R.P.Dubey ,On generalization of some coincidence and common fixed point theorems for three self mappings in Cone metric spaces, International Journal of Mathematics Trends and Technology (IJMTT),Vol.11, no.2(Jul 2014), pp 124-134, UGC Approved Journal (Impact Factor:0.462).
    40.  Anil Kumar Dubey, Urmila Mishra, Coincident point and fixed point results for three self mappings in Cone metric spaces, International Journal Nonlinear Analysis Applications (IJNAA),Vol. 5, no.2 (2014), pp 104-110,ESCI Indexed Journal (Web of Science) (Impact Factor:1.0447).
    41.  Anil Kumar Dubey, Rita Shukla and R.P.Dubey, Some fixed point results for generalized contractive mappings on Cone metric spaces, International Journal of Computational Science and Mathematics (IJCSM), Vol.6, Number 1(2014) ,pp 37-44.
    42.  Anil Kumar Dubey, Rohit Verma, On Some Common Fixed Point Theorems for Certain Contractive Mappings in Cone Metric Spaces, Scholars Journal of Physics, Mathematics and Statistics(SJPMS), 2014;vol-1;Issue-2(Sep-Nov 2014),pp 99-103.
    43.  Anil Kumar Dubey, Rohit Verma and R.P.Dubey, Some Common Fixed Point Results for Multivalued Mapping in Cone Metric Spaces, International Journal of Mathematics And its Applications(IJMAA) Vol.3,Issue 1(2015), pp 1-6, UGC Approved Journal (Impact Factor:0.40).
    44.  Anil Kumar Dubey, Rohit Verma and  R.P.Dubey, Cone Metric Spaces and Fixed Point Theorems of Contractive Mapping for c-Distance, International Journal of Mathematics And its Applications(IJMAA) Vol.3,Issue 1(2015), pp 83-88, UGC Approved Journal (Impact Factor:0.40).
    45. Anil Kumar Dubey, Rita Shukla and  R.P.Dubey, Some Fixed Point Theorems in Complex Valued b-Metric Spaces, Journal of Complex Systems(JCS), Hindawi Publishing Corporation, Volume 2015, Article ID 832467,7 pages, http://dx.doi.org/10.1155/2015/832467.
    46. Anil Kumar Dubey, Rita Shukla and  R.P.Dubey , Some Common Fixed Point Theorems for Four Maps in Cone Metric Spaces, International Journal of  Pure and Applied Mathematics (IJPAM),Vol.100, no.2 (2015), pp157-167,http://dx.doi.org/10.12732/ijpam.v100i2.1, SCOPUS Indexed Journal (Impact Factor:0.252).
    47. Anil Kumar Dubey, Rohit Verma, R.P.Dubey, Coupled Fixed Point Results with c-distance in Cone Metric Spaces, Asia Pacific Journal of Mathematics(APJM),Vol.2,No.1(2015),pp 20-40.  
    48. Anil Kumar Dubey, Common Fixed Point Results for Contractive Mappings in Complex Valued b-Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA), Vol.20, No.2(2015), pp 257-268, SCOPUS Indexed Journal.  
    49. Anil Kumar Dubey, Reena Shukla and R.P.Dubey ,Existence of equilibria of maps for pair of generalized games, Journal of Advances in Mathematics (JAM), Vol. 11, no.1 (2015), pp 3902-3907 (Impact Factor:1.296).
    50. Anil Kumar Dubey, Rita Shukla and R.P.Dubey , Some Common Fixed Point Theorems for Contractive Mappings in Complex-Valued b-Metric Spaces, Asian Journal of Mathematics and Applications(AJMA), Vol. 2015,Article ID ama0266 ,13pages, pp 1-13.
    51. Anil Kumar Dubey, Rita Shukla and R.P.Dubey , Some new equilibrium existence theorems for pair of abstract economies, Journal of Progressive Research in Mathematics(JPRM),Vol. 5, Issue 5, November 04 2015, pp 628-633 (Impact Factor:0.91).
    52. Anil Kumar Dubey and Manjula Tripathi , Approximating Fixed Point in CAT(0) Spaces by s-iteration Process for a Pair of Single-Valued and Multi-Valued Mappings , International Journal of Mathematics And its Applications (IJMAA), Vol.3, Issue 4-E (2015), pp33-40, UGC Approved Journal (Impact Factor:0.40).
    53. Anil Kumar Dubey, Urmila Mishra, Some fixed point results of single-valued mapping for c-distance in tvs-cone metric spaces,  Filomat Journal of  Mathematics(FJM),30:11(2016),pp2925-2934,SCI Indexed Journal (Web of Science) and SCOPUS Indexed Journal (Impact Factor:0.638).
    54. Anil Kumar Dubey, Complex Valued b-Metric Spaces and Common Fixed Point Theorems under Rational Contractions, Journal of Complex Analysis(JCA), Hindawi Publishing Corporation,Volume 2016,Article ID 9786063,7 pages, http://dx.doi.org/10.1155/2016/9786063,ESCI Indexed Journal (Web of Science) and SCOPUS Indexed Journal.
    55. Anil Kumar Dubey and Manjula Tripathi , Common Fixed Point Theorem in Complex Valued  b-Metric Space for Rational Contractions, Journal of Informatics and Mathematical Sciences(JIMS),Vol 7, No. 3(2015), pp 149-161, ESCI Indexed Journal (Web of Science).
    56. Anil Kumar Dubey and Manjula Tripathi, Common Fixed Point       Theorems of Multivalued Mapping, Advances in Fixed Point Theory (AFPT) ,Vol 7, No. 1(2017), pp 155-161,(Impact Factor:0.421).
    57. Anil Kumar Dubey, Manjula Tripathi and R.P.Dubey , Various Fixed Point Theorems in Complex Valued  b-Metric Spaces, International  Journal of Engineering Mathematics (IJEM),Vol 2016, Article ID 7072606, 7 Pages, Hindawi Publishing Corporation.
    58. Anil Kumar Dubey and Manjula Tripathi , Some Generalized Common Fixed Point Theorems under Rational Contractions in Complex Valued  b- Metric Spaces and Applications, Asian Journal of Mathematics and Applications (AJMA),Vol 2016,Article ID ama0323,10 pages.
    59. Anil Kumar Dubey , Generalization of Common Coupled Fixed Point Theorems in Complex Valued b-Metric Spaces ,International Journal of Mathematics And its Applications (IJMAA), Vol.4, Issue 3-A (2016), pp185-196, UGC Approved Journal (Impact Factor:0.40).
    60. Anil Kumar Dubey, Madhubala Kasar and R.P.Dubey ,Common Fixed Point Theorems for Weakly Compatible Mappings in Complex Valued b-Metric Spaces ,Journal of Advances in Mathematics(JAM),Vol. 12, no.12 (2017), pp 7014-7021(Impact Factor:1.296).
    61. Anil Kumar Dubey and Urmila Mishra, Some Fixed Point Results for c-Distance in Cone Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA), Vol.22,No.2(2017),pp 275-286, SCOPUS Indexed Journal.
    62.  Anil Kumar Dubey, Manjula Tripathi and M.D. Pandey, Common Fixed Point Results for Rational type Contraction in Complex Valued b-Metric Spaces, International Journal of  Pure and Applied Mathematics (IJPAM), Vol.116, No.2 (2017), pp 447-456, SCOPUS Indexed Journal (Impact Factor:0.252).
    63. Anil Kumar Dubey and Madhubala Kasar, Some Fixed Point Results in Complex Valued Metric Spaces with Point-dependent Contractive Conditions, International Journal of Advanced Scientific and Technical Research(IJAST), Issue7, volume 3, May-June 2017,UGC Approved Journal (Impact Factor:3.54).
    64. Anil Kumar Dubey and Manjula Tripathi, The Existence of Fixed Point Theorems in Complex Valued b-Metric Spaces, International Journal of Mathematical Archive (IJMA) , Vol 8, No. 7 (2017), pp 179-183, UGC Approved Journal.
    65. Anil Kumar Dubey,Urmila Mishra and Rita Pal, New Fixed Point Theorems for TF Type Contractive Conditions, Global Journal of Pure and Applied Mathematics(GJPAM),Vol 13, No. 11 (2017), pp 7955-7962.
    66. Anil Kumar Dubey, Urmila Mishra and Manjula Tripathi ,Common Fixed Point of Mappings Satisfying Rational Inequality in Complex Valued b-Metric Spaces, Communications in Mathematics and Applications , Vol 8, No. 3(2017), pp 289-300, ESCI Indexed Journal (Web of Science).
    67. Anil Kumar Dubey, Shweta Bibay and R.P. Dubey, Fixed Point Theorems for Generalized Rational Contractions  in Complex Valued b-Metric Spaces, International Journal of Advances in Mathematics, Vol 2018, No.3(2018), pp 25-33.
    68. Anil Kumar Dubey and Manjula Tripathi,Common Fixed Point Theorems in Complex Valued b-Metric Spaces, International Journal of Advances in Science, Engineering and Technology, Vol. 6 , Issue 2,Spl Issue 1,May 2018,UGC Approved Journal.
    69. Anil Kumar Dubey,Urmila Mishra and Rita Pal,Common Fixed Point Results Under c-Distance in TVS Cone Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA),Vol.23,No.3(2018),pp 413-442, SCOPUS Indexed Journal.
    70.  Anil Kumar Dubey, Shweta Bibay ,R.P. Dubey and  M.D.Pandey, Some Fixed Point Theorems in C- complete Complex Valued Metric Spaces, Communications in Mathematics and Applications ,Vol 9, No. 4(2018), pp 581-591, ESCI Indexed Journal (Web of Science).
    71. Anil Kumar Dubey, Mithilesh Deo Pandey , R.P.Dubey, Common Fixed Point Theorems on Cone Metric Spaces with c-Distance, Advances in Modelling and Analysis A(AMSE),Vol 55, No. 4(2018), pp 196-200, SCOPUS Indexed Journal.
    72. Anil Kumar Dubey, Manjula Tripathi and M. D. Pandey, Some fixed point  theorems for generalized contraction involving rational expressions in complex valued  b-Metric spaces, Asian Journal of Mathematics and Applications (AJMA),Vol. 2019, Article ID ama0503 , pp 1-19.
    73. Anil Kumar Dubey, Urmila Mishra and W.H. Lim, Genearalized Common Fixed Point Results for Three Self-Mappings in Complex Valued b-Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA),Vol.24,No.2(2019),pp 255-267, SCOPUS Indexed Journal.
    74. Anil Kumar Dubey, Urmila Mishra and W.H. Lim, Genearalized Common Fixed Point Results for Three Self-Mappings in Complex Valued b-Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA),Vol.24,No.2(2019),pp 255-267, SCOPUS Indexed Journal.
    75. Anil Kumar Dubey and Madhubala Kasar, Some Common Fixed Point Theorems For Three Mappings in TVS-Valued Cone Metric Spaces, International Journal of Mathematical Sciences and Engineering Applications (IJMSEA),Vol.13, No.I (June,2019),pp.25-36 (Impact Factor:0.5250).
    76. Anil Kumar Dubey, Urmila Mishra and Won Hee Lim, Some New Fixed Point Theorems for Generalized Contractions Involving Rational Expressions in Complex Valued b-Metric Spaces, Nonlinear Functional Analysis and Applications (NFAA),Vol.24,No.3(2019),pp 477-483, SCOPUS Indexed Journal.
    77. Anil Kumar Dubey, Rita Pal and M. D. Pandey ,Fixed Point Theorems  for T-contractions with C-Distance on Cone Metric Spaces , Journal of Informatics and Mathematical Sciences(JIMS),Vol 11, No. 3-4(2019), pp 265-272, ESCI Indexed Journal (Web of Science).
    78. Anil Kumar Dubey, Madhubala Kasar and Urmila Mishra, T-Contractive Mapping and Fixed Point Theorems in Cone Metric Spaces with C-Distance, Nonlinear Functional Analysis and Applications (NFAA),Vol.25, No.1(2020), pp 127-134, SCOPUS Indexed Journal.
    79. Anil Kumar Dubey, Urmila Mishra, Abhay S. Ranadive and Won Hee Lim, Common Fixed Point of Absorbing Mapping Satisfying Implicit Relation, Nonlinear Functional Analysis and Applications (NFAA),Vol.25, No.1(2020), pp 117-126, SCOPUS Indexed Journal.
    80. Anil Kumar Dubey and Rita Pal, Fixed Point Results for Rational Contractions Involving Control Functions in Complex Valued b-Metric Spaces, Asian Journal of Mathematics and Applications, Vol. 2020, Article ID ama0549,8 pages, pp 1-8.
    81. Anil Kumar Dubey, Urmila Mishra, Nirmal Kumar Singh and Mithilesh Deo Pandey, New Fixed Point Results for T-contractive Mapping with c-Distance in Cone Metric Spaces, Facta Universitatis (NIS), SER. MATH. INFORM. Vol 35, No. 2(2020), pp 367-377, ESCI Indexed Journal (Web of Science).
    82. Anil Kumar Dubey, Urmila Mishra, M. K. Shriwas and R. P. Dubey, Common Fixed Point of Absorbing Mappings in Weak Partial Metric Spaces using Implicit Relation, Journal of International Academy of Physical Sciences(IAPS), Vol 24, No. 1(2020), pp. 25-39.
    83. Anil Kumar Dubey, Madhubala Kasar and R.P.Dubey, Coincidence Point and Common Fixed Point Results in Cone Metric Spaces Under c-Distance, Communications in Mathematics and Applications, Vol 11, No. 3(2020), pp 357-364, ESCI Indexed Journal (Web of Science).
    84. Anil Kumar Dubey, Rita Pal and Mithilesh Deo Pandey, Common Fixed Point Results in C-Complete Complex Valued Metric Spaces, Communications in Mathematics and Applications, Vol 11, No. 4 (2020), pp 539-548, ESCI Indexed Journal (Web of Science).
    85. Anil Kumar Dubey, Archana Dewangan and Mithilesh Deo Pandey, Some Coincidence and Common Fixed Point Theorems for Two Pairs of Self Mappings Satisfying a Rational Inequality in Complex Valued  Metric Spaces, Journal of Informatics and Mathematical Sciences(JIMS), Vol 13, No. 1(2021), pp 1-8.
    86. Anil Kumar Dubey, Snehlata Mishra, Vaibhav Upadhyay and Sanjay Sharma, Coincidence Point and Fixed Point Theorem in Partially Ordered Metric Spaces,Turkish Online Journal of Qualitative Inquiry(TOJQI) ,Vol 12, Issue. 9(August 2021), pp. 7612-7617, SCOPUS Indexed Journal.
    87. Anil Kumar Dubey, Archana Dewangan,M. D. Pandey and R. P. Dubey, Fixed Points for (α,β) admissible Mappings Via Simulation Functions,  Communications in Mathematics and Applications, Vol 12, No. 4 (2021), pp 1101-1111, ESCI Indexed Journal (Web of Science).
    88. Anil Kumar Dubey, Snehlata Mishra , Urmila Mishra and R. P. Dubey,  On Some Fixed Point Results for Cyclic (α,β)- admissible Almost Z-contraction in Metric-like Space with Simulation Functions,  Communications in Mathematics and Applications, Vol 13, No. 1 (2022), pp 223-233, ESCI Indexed Journal (Web of Science).
    89. Anil Kumar Dubey, Rita Pal, Some Fixed Point Results in Cone Metric  Spaces, Journal of the Asiatic Society of Mumbai, Vol 96, No. 8(II), August 2022, pp 1-6, UGC Care Group I Journal.
    90. Anil Kumar Dubey,Archana Dewangan ,Urmila Mishra and R. P. Dubey  Fixed Point Results for (α,β)- admissible Almost Z-contraction in Metric-like Space with Simulation Functions, Facta Universitatis (NIS), SER. MATH. INFORM. Vol 37, No. 3(2022), pp 529-540, ESCI Indexed Journal (Web of Science).
    91. Anil Kumar Dubey, Snehlata Mishra. Urmila Mishra and Ho Geun Hyun, Some Fixed Point Theorems for Rational (α,β,z)-contraction Mappings under Simulation Functions and Cyclic (α,β)- admissibility, Nonlinear Functional Analysis and Applications (NFAA), Vol.27, No.4(2022), pp 757-771, SCOPUS Indexed Journal.
    92. Anil Kumar Dubey, Snehlata Mishra , Urmila Mishra and M. D. Pandey,  Some Fixed Point Theorems for (α,β,z)-contraction Mapping under Simulation Functions in Banach space , Communications in Mathematics and Applications, Vol 14, No. 1 (2023), pp 1-7, ESCI Indexed Journal (Web of Science).

    (b) . Conferences/Seminars/Workshops/Symposia Attended:

    • Attended “WCM conference cum Workshop” held at Jaya Shree Textiles, Rishra (W.B.) from 24th to 31st Dec 1997.
    • Participated in a one week course entitled “Microsoft Office” in the month of December 2002 sponsored by  NIIT.
    • Participated a workshop for ‘5S’ Auditors at Jaya Shree Textiles, A unit at Aditya Birla Nuvo Ltd. Rishra (W.B.) conducted on 10.05.2006.
    • Attended “CoreTeaching Skill Programme” sponsored by MHRD/AICTE organized by Govt. Engg. College Bilaspur from 20.07.2009 to 24.07.2009.
    • Attended “Rashtriya  parisavand in Vedic Ganita  Programme” sponsored and organized by Dr. C.V.Raman university Bilaspur and Shiksha Sanskriti utthan nayas Delhi from  25th to 26th  Feb 2010.
    • Attended “Trainers Training Programme on Teaching Methodology” organized by Chhattisgarh Swami Vivekanand Technical University, Bhilai on 07.08.2010 and 08.08.2010.
    • Participated in a Two-day ISTE WORKSHOP on Aakash for Education conducted by Indian Institute of Technology Bombay on 10th & 11th November,2012.
    • Presented research paper entitled “Some Fixed Point Theorems for Multivalued Mapping in Cone Metric Spaces” in AICTE Sponsored National Seminar on “Application of Mathematical Modeling in Science & Technology” held at Bhilai Institute of Technology,Durg on 15th – 16th March 2013.
    • Published research paper entitled “Some fixed point results of single-valued mapping for c-distance in TVS-cone metric spaces” in Second International Conference on Analysis and Applied Mathematics(ICAAM 2014).
    • Attended TWO-WEEK ISTE Short Term Training  Programme(STTP) on Pedagogy for Effective use of ICT in Engineering Education Conducted by IIT Bombay Under the National Mission on Education through ICT(MHRD, Govt. of India) on 5th-7th - 19th-21st January 2015.
    • Presented research paper entitled “Cone Metric Spaces and Fixed Point Theorems for Three Self Mappings” in the National Conference on “Emerging Research Trends in Mathematics and Computation” held during February 20-21,2015 at  Bhilai Institute of Technology, Durg.
    • Published research paper entitled “Fixed point theorem of contractive mappings in cone metric spaces” in National Conference on “Emerging trends of Mathematics in Science and Engineering on 29th -30th  January 2016” at  Bhilai Institute of Technology, Durg.
    • Published research paper entitled “Common fixed point theorem in complete metric space” in National Conference on “Application of Mathematics in Science and Engineering on 10th -11th  March 2016” at  Bhilai Institute of Technology, Durg.     
    • Presented research paper entitled “Some Fixed Point Results in Complex Valued Metric Spaces with Point-dependent Contractive conditions” in the National Conference, on “Challenges in Mathematics for the Development of  Science  and Technology” held during 28 March 2017 at  Bhilai Institute of Technology, Durg.
    • Participated in the AICTE sponsored two weeks Short Term Course on “Fixed Point Theory and Dynamical Systems” at IIT(BHU) ,Varanasi during Nov 20th -30th ,2017.
    • Presented research paper entitled “Some Fixed Point Results in Cone Algebra” at the National Conference, on “Frontier Areas of Mathematics with Application in Real World Problems” held during 15th February 2018 at  Bhilai Institute of Technology, Durg.
    • Presented research paper entitled “Common  Fixed Point Theorems in Complex Valued B-Metric Spaces” at the International Conference, on “Applied Physics and Mathematics (ICAPM)” held in Amsterdam, Netherlands on 9th – 10th March  2018.
    • Presented research paper entitled “Fixed Point Theorems with T-contraction under c-Distance on Cone Metric Spaces” at the National Conference, on “Research Trends in Pure and Applied Mathematics” held during 1st March 2019 at  Bhilai Institute of Technology, Durg.
    • Participated in two days National level Webinar on “Exploring new ambits in the field of Mathematics and Computer Science education due to problems emerged by pandemic 20” held on 2nd and 3rd July 2020, Organized by Department of Computer Science and Mathematics, Seth Phoolchand Agrawal Smriti Mahavidyalaya, Nawapara Rajim (C.G.).
    • Attended National level one week online Faculty Development Programme on “Mathematics: A practical Approach in Science and Technology” held on 28th June to 3rd July 2020, Organized by Department of Basic Science and Humanities, Deogiri Institute of Engineering and Management Studies, Aurangabad(Mah).
    • Participated in a one week online International Faculty Development Program on “Recent Advances in Mathematics and Statistics” in connection with the Birth Centenary of Prof. C. R. Rao, jointly organized by Department of Mathematics, Institute of Science and Centre for Learning and Sustainability, GITAM University Visakhapatnam (A.P.), India from 3rd August 2020 to 8th August 2020.
    • Participated in the International Webinar Series “Erudite Season 3 on Robotics and Artificial Intelligence: Challenges and Perspectives” presented by Khaled Khnissi , Organized under Robotics and Automation Society of St. Joseph’s college of Engineering on 7th August 2020.
    • Attended the Five day’s online Faculty Development Program on “Role of Mathematics in Engineering Disciplines” organized by Department of  Science and Humanities, STELLA MARY’S COLLEGE OF ENGINEERING, Kanyakumari, Tamil Nadu ,India from 3rd August 2020 to 7th August 2020.
    • Participated in the International Webinar on “Recent Developments in Number Theory 2020” organized by KIIT Deemed to be University, Bhubaneswar, Odisha, India during 17th August 2020 to 20th August 2020.
    • Participated and completed the online FDP programme on “Discrete Mathematics, Graph theory and its applications” organized by Department of Applied Sciences and Humanities in association with IQAC, Universal Engineering College, Vallivattom, Thrissur, during August 17th -21st , 2020.
    • Participated in a one week Faculty Development Programme on “Real Applied and Computational Mathematics” organized by Department of Mathematics, PRDS College of Arts and Science, Changanacherry, Kerala, India in association with Kerala Mathematical Association from 23rd to 29 th August 2020.
    • Attended the six days e-Faculty Development Program entitled “Applied Mathematics and Related Fields(AMRF-2020)” from 24th  to 29th August 2020,Organized by Department of Mathematics, Institute of Applied Sciences and Humanities(IAH), GLA University, Mathura (U.P.) India.
    • Participated in one week online Short Term Training Programme on  “Linear Algebra and Statistics for Engineers and Scientists(LA and SES-2020)” held on 2nd Sept to 6th Sept 2020, Organized by Government College of Engineering Aurangabad, under Technical Education Quality Improvement Programme (TEQIP-III).
    • Participated in “Two days International Webinar on Fuzzy and Neutrosophic Systems ” held on 21st and 22 nd August 2020, organized by Department of Mathematical Sciences, Bodoland University, BTAD, Assam, India.
    • Participated in the “Five Days International e-Seminar on Recent Research in Mathematics(ISRRM-2020)” from 11th to 15 th September, 2020, organized by Department of Mathematics, School of Science, GITAM, Bengaluru.
    • Participated in the “International Webinar on Recent Trends in Geometric Function Theory and Application-2020” organized by Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha, India during 18th to 21st September, 2020.
    • Participated in One week International E-Faculty Development Programme on “ Fixed Point Theory and its Applications” organized by the Department of Mathematics and Statistics, School of Basic Sciences, Manipal University, Jaipur during 15th to 19th September, 2020.
    • Participated in the Online Faculty Development Program “Outcome Based Engineering Education and Accreditation (OBEEA 2020), Sponsored by TEQIP-III, organized by NIT Meghalaya during 21st to 23rd September, 2020.
    • Presented a research paper titled “Generalization of Banach Contraction Principle with New Contractive condition on Cone Rectangular Metric Spaces” in the conference Exploring New Horizons of Mathematics in Context of Current Challenges, BITCON 2020 on 20th November 2020 organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg(C.G.).
    • Participated in the “International Webinar on Recent Research Developments in Graph Theory” organized by Research and Postgraduate Department of Mathematics, St. Joseph’s College (Autonomous), Irinjalakuda , India on 15th Dec., 2020.
    • Participated in TEQIP-III sponsored two week International Winter School on “ Fluid Dynamics, Heat Transfer and Applications” organized by Department of Mathematics, National Institute of Technology, Uttarakhand , during 18 th -29 th January 2021.
    • Participated in the TEQIP-III sponsored Workshop on “Role of Computational Fluid Dynamic for solution of Industrial problems in Collaboration with Siemens Digital Industry Software”, organized by Department of Mechanical Engineering, National Institute of Technology, Meghalaya during  8 th -12 th March 2021.
    • Participated in One week Faculty Development Programme on “Recent Trends in Applications of Mathematics (RTAM)”, organized by  Department  of Freshman Engineering, Chadalawada Ramanamma Engineering College(Autonomous) Tripati from 12th to 17th July, 2021.
    • Participated in One week Virtual National Faculty Development Program on “Scientific Documentation using LaTex (SDL-2021)”,organized by  Department of Engineering Mathematics and Humanities, SRKR Engineering College(A), Bhimavaram held during 9th to 14th August, 2021.
    • Participated the International Webinar on “Teaching Techniques in Mathematics”, organized by Institute of Global Professionals on 12th July 2021.
    • Participated the International Webinar on “Special Topics in General Mathematics”, organized by Institute of Global Professionals on 28th July 2021.
    • Participated in the National Level Webinar on “Mathematical Modeling and Social Choice Theory”, organized by the Department of Applied Mathematics, Shri Shankaracharya Technical Campus, Bhilai on 27th Sept 2021.
    • Participated in the Webinar on “Intellectual Property Rights(IPR)”, organized by Bhilai Institute of Technology, Durg in association with RGNIIPM Nagpur on 24th Sept 2021.
    • As Organizing Secretary in the National Conference BITCON 2021, organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh during 22nd-23rd October 2021.
    • Presented a research paper titled “Some Coincidence and Common Fixed Point Results for Mappings Satisfying a Rational Inequality in Complex Valued Metric Spaces” in the National Conference, on “A Multidisciplinary Approach to Research in Mathematics” held during 22nd-23rd October 2021 organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg.  
    • Advisory Committee Member in International conference on Mathematical Techniques in Application of Science and Technology(ICMTAST-21) 22nd-23rd December 2021, organized by Department of Mathematics and IQAC, Dr. C.V. Raman University, Bilaspur , Sponsored by Indian Association of Physics Teachers(IAPT) and Chhattisgarh Science Centre(CSC).
    • Participated in 3rd International Conference on Recent trends in Renewable Energy and Sustainable development 29th-30th April 2022, organized by BIT , Raipur and presented a Research paper entitled “Study of coincidence point and common fixed point theorem in partially ordered metric spaces”.
    • Participated International Workshop on “Vedic Mathematics”, organized by Department of Mathematics, Chaudhary Charan Singh University, Meerut on dated 22nd Aug to 28th Aug  2022.
    • Participated in One week online Faculty Development Programme on “Recent Research Area and its Application in Mathematics”, from 10th to 15th October, 2022, organized by  Vel Tech Multi Tech, Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, Tamilnadu.
    • Participated in the “Seminar on Algebraic Graph Theory”, organised by the Division of Mathematics, School of Advanced Sciences on 13th Oct 2022 at Vellore Institute of Technology, Chennai.
    • Participated in Two-Day Workshop on “ A Two-Day Workshop on Abstract Algebra” organized the Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai from 11th and 12th Nov  2022.
    • Participated in the “5-Day National Workshop on Applied Mathematics and Computing”, organized by Department  of  Engineering Mathematics and Computing, Madhav Institute of Technology and Science Gwalior, Madhya Pradesh from June 12th to 16th 2023.
    • Participated in the Faculty Development programme on “Data Analysis using Advanced Computational Techniques”, organized by the Department of Statistics and Mathematics, Amity University, Kolkata, India from 24th to 28th July 2023.
    • Participated in the Seven Day International Virtual Faculty Development programme  on “Research Insights for Academic Excellence”, organized by the Department of Mathematics, KPR College of Arts Science and Research, Coimbatore-641407, Tamilnadu, India from 3rd to 8th August 2023.
    • Member of Organizing Committee in AICTE Sponsored International conference on “Smart and Innovative Development in Science, Engineering and  Technology”, organized by Bhilai Institute of Technology,AICTE IDEA LAB, Durg from 16-18 August 2023.

    • Books Authored

      S. No.

      Name of Book

      Co-authors

      Publisher

      Year of Publication

      1

      Study of Fixed Point Theorems in TVS and Applications to Fractals

      Dr  A. Narayan

      LAP LAMBERT Academic Publishing

      2014

      Course Certificate:                             

    • Completed Course Certificate “Firm Level Economics: Consumer and Producer Behavior” an online non-credit course authorized by University of Illinois at Urbana-Champaign and offered through Coursera, Aug 30,2021.
    • Completed Course Certificate “Introduction to Microsoft Excel” an online non-credit project authorized by Coursera Project Network and offered through Coursera, July 20,2022.
    • Completed Course Certificate “Construct Stock Market Indices” an online non-credit project authorized by Coursera Project Network and offered through Coursera, July 20,2022.
    •  
Other Info.

Other Responsibilities:

    • Assistant superintendent of exams in LCIT Bilaspur for university examination (Swami Vivekananda Technical University, Bhilai) in the year 2009-10.
    • Assistant superintendent for professional Exams (Vyapam, Raipur) in the year 2009.
    • Member of Discipline committee of  LCIT College Bilaspur(C.G).
    • Incharge of Boy’s Hostel LCIT College Bilaspur(C.G).
    • Member of Cultural Committee of LCIT  College Bilaspur(C.G).
    • Assistant superintendent of exams in BIT Durg for university examination (Swami Vivekananda Technical University, Bhilai) in the year 2014-15.
    • Assistant superintendent of exams in BIT Durg for university examination (Swami Vivekananda Technical University, Bhilai) in the year 2015-16.
    • Assistant superintendent of exams in BIT Durg for university examination (Swami Vivekananda Technical University, Bhilai) in the year 2016-17.
    • Assistant superintendent for professional Exams (Vyapam, Psc etc.)  in the year 2014-15,2015-16 and 2016-17.
    • Member of Professional Activity Club of  BIT DURG(C.G) in the year 2018-19.
    • Member of Central Library of  BIT DURG(C.G) in the year 2019-20.
    • Member of Anti-Ragging committee of  BIT DURG(C.G).

      Extra Activities:

    • Participated in a one week course entitled “Microsoft Office” in the month of December 2002 sponsored by  NIIT.
    • Completed 3 months course of “SAP” also end users of SAP.
    • Awaken Giant within yourself (A supervisory development Programme).
    • Member, Organizing Committee in National Conference BITCON 2017, Organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg on 28th March 2017.
    • Appointed as an Observer in various National level Examinations like UGC-NET, JEE-MAIN, NEET(UG)  etc, conducted by Central Board of Secondary Education.
    • First year Coordinator for organizing the Poster competition on the topic “Digital Transformation- A new Industrial Revolution” held on 15th September, 2018 in Bhilai Institute of Technology, Durg.
    • Member, Organizing Committee in National Conference BITCON 2018,Organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg on 15th  Feb 2018.
    • Member, Organizing Committee in National Conference BITCON 2019,Organized by Department of Applied Mathematics, Bhilai Institute of Technology, Durg on 1st March 2019.


Felowship/Awards/Other recognitions:

    Reviewer:

    • American Mathematical Society(AMS) – MathSciNet, Mathematical Reviews
    • Elsevier Publication
    • Functional Analysis, Approximation and Computation
    • Asian Journal of Mathematics and Computer Research
    • International Journal of Nonlinear Analysis and Applications
    •  British Journal of Mathematics and Computer Science
    • Asian Research Journal of Mathematics
    • Analele Stiintifice ale Universitatii Ovidius Constanta
    • European Journal of Pure and Applied Mathematics

    Ph.D. Supervision (Awarded/Ongoing):

    1. Research Scholar- Madhubala Kasar,Awarded Ph.D. from Dr. C. V. Raman University, Kota, Bilaspur for his   Thesis “Analytical Study of Fixed Point Theory and its Applications in Economics” .Date of Received Ph.D. : 11-02-2023.
    2. Research Scholar- Manjula Tripathi,  Awarded Ph.D. from Dr. C. V. Raman University, Kota, Bilaspur for his   Thesis “Study of Fixed Point Theorems with Applications to Complex Valued b-Metric Spaces” .Date of Received Ph.D. : 01-03-2023.

    S. No.

    Scholar’s Name

    Year of Regn.

    Status(Ongoing/Completed)

    3

    Mrs. Shweta Bibay

    2016

    Ongoing
    4 Rita Pal 2018 Ongoing
    5 Archana Dewngan 2019 Ongoing

    Membership:   

    • Life Membership in The Indian Science Congress Association ,Membership No.  L32807

    Examinership to examine the research thesis :

    • Examined the thesis entitled “STUDY OF CONTRACTION MAPPINGS  IN TOPOLOGICAL SPACES”, Submitted by Mr Shantanu Bhaumik to Dr C.V. Raman University, Bilaspur, Chhattisgarh, India.
    • Examined the thesis entitled “ON THE STUDY OF SOME FRACTIONAL INTEGRAL INEQUALITIES”, Submitted by Ms Asha Baban Nale to Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (M.S.), India.

    Achievements

    • Setting of Splicer’s in Auto- winding Machine during the month of August 2006, which has been adjudged as a Good Kaizen.
    • Financial reward for the research papers authored by me and published during the year 2011,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2012,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2013,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2014,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2015,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2016,under the existing Scheme of BIT DURG  for Publication of Research Papers.
    • Financial reward for the research papers authored by me and published during the year 2017,under the existing Scheme of BIT DURG  for Publication of Research Papers.