Department  Applied Mathematics 
Designation  Assistant Professor 
Educational Qualification  M.Sc. Ph.D. 
anilkumardby70@gmail.com  
Contact Number  09424107710 
Department of Applied Mathematics
DR. Anil Kumar Dubey
FUNCTIONAL ANALYSIS, FIXED POINT THEORY
 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 267271(Impact Factor:0.305).
 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 371380(Impact Factor:0.305).
 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 413425, SCOPUS Indexed Journal (Impact Factor:0.252)
 Anil Kumar Dubey, A. Narayan ,An Extension to Ishikawa iterations method for Multivalued Mappings,International Journal of Mathematics and applications(IJMA) ,Vol 4, No. 2(Dec 2011), pp 151158.
 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 417419(Impact Factor:0.305).
 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 917929, SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey and A. Narayan ,On Multivalued fnon expansive three maps, The Journal of the Indian Academy of Mathematics (JIAM),Vol 34,No 2(2012),pp 427430.
 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 1318.
 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 839845(Impact Factor:1.0592).
 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 8490(Impact Factor:0.7578).
 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 128133(Impact Factor:0.7578).
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey ,Cone metric spaces and fixed point theorems of generalized TZamfirescu mappings, International Journal of Applied Mathematical Research(IJAMR),Vol. 2,no.1(2013), pp 151156(Impact Factor:0.7578).
 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 213220, SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey, S. K. Tiwari and R. P. Dubey , Common fixed point theorems for TWeak contraction mapping in a Cone metric space, Mathematica Aeterna (MI), Vol.3, no.2 (2013), pp137147 (Impact Factor:1.0592).
 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 269273(Impact Factor:0.7578).
 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(IOSRJM),Vol. 6, no.1 (MarApr 2013), pp 5961(Impact Factor:1.312).
 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), pp119122.
 Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey ,Cone metric spaces and fixed point theorems of generalized TContractive mappings, International Journal of Pure and Applied Mathematics (IJPAM), Vol.84, no.4 (2013), pp 353363, http://dx.doi.org/10.12732/ijpam.v84i4.5 SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey, A. Narayan and R.P.Dubey ,Generalized KIterated function system,Gen. Math. Notes (GMN),Vol. 15, no.1 (2013), pp1627(Impact Factor:0.425).
 Anil Kumar Dubey, A.Narayan, Maximal elements and pair of generalized games for Umajorized and condensing correspondences, Nonlinear Functional Analysis and Applications (NFAA), Vol.18, No.2 (2013),pp 259267, SCOPUS Indexed Journal.
 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 352355(Impact Factor:0.7578).
 Anil Kumar Dubey, S. K. Tiwari and R. P. Dubey, Common fixed point theorem in cone metric spaces for generalized TContraction maps, International Journal of Mathematical Archive (IJMA),Vol. 4, no.6 (2013), pp 4549.
 Anil Kumar Dubey, Reena Shukla and R.P.Dubey ,Common fixed point theorems for TReich contraction mapping in cone metric spaces, Advances in Fixed Point Theory(AFPT), Vol. 3, no.2 (2013), pp 315326. (Impact Factor:0.421).
 Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey ,Cone metric spaces and fixed point theorems of generalized TKannan contractive mappings, American Journal of Mathematics and Mathematical Sciences (AJMMS), Vol. 2, no.1 (JanJune 2013), pp 3137.
 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 431441, doi: http:// dx.doi.org/10.12732/ijpam.v87i3.7 SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey ,Common fixed point theorem for generalized THardyRogers contraction mapping in a cone metric space, Advances in Inequalities and Applications(AIA),Vol. 2014, no.18(2014), pp 116(Impact Factor:0.17).
 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 568577 (Impact Factor:0.421).
 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 58295837(Impact Factor:1.682).
 Anil Kumar Dubey, S.K.Tiwari and R.P.Dubey , Cone metric space and common fixed point theorems for generalized Jaggi and DassGupta contractive mappings, International Journal of Mathematical Archive (IJMA),Vol.4,no.10 (2013), pp 93100.
 Anil Kumar Dubey, Reena Shukla and R.P.Dubey ,Some fixed point results in Dislocated QuasiMetric space, International Journal of Mathematics Trends and Technology (IJMTT),Vol.9, no.1(May 2014), pp 103106 (Impact Factor:0.462).
 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 416424(Impact Factor:0.30).
 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 5559.
 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 7784.
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey, Some fixed point results in bMetric spaces, Asian Journal of Mathematics and Applications (AJMA),Vol. 2014, Article ID ama0147 , pp 16.
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey ,Some Common fixed point results of three selfmappings in cone metric spaces, Journal of Advances in Mathematics(JAM),Vol. 7, no.3 (2014), pp 12771284 (Impact Factor:1.296).
 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 19 (Impact Factor:0.425).
 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 393397 (Impact Factor:0.80).
 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 3945.
 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 124134(Impact Factor:0.462).
 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 104110,ESCI Indexed Journal (Web of Science) (Impact Factor:1.0447).
 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 3744.
 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;vol1;Issue2(SepNov 2014),pp 99103.
 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 16 (Impact Factor:0.40).
 Anil Kumar Dubey, Rohit Verma and R.P.Dubey, Cone Metric Spaces and Fixed Point Theorems of Contractive Mapping for cDistance, International Journal of Mathematics And its Applications(IJMAA) Vol.3,Issue 1(2015), pp 8388 (Impact Factor:0.40).
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey, Some Fixed Point Theorems in Complex Valued bMetric Spaces, Journal of Complex Systems(JCS), Hindawi Publishing Corporation, Volume 2015, Article ID 832467,7 pages, http://dx.doi.org/10.1155/2015/832467.
 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), pp 157167, http://dx.doi.org/10.12732/ijpam.v100i2.1, SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey, Rohit Verma, R.P.Dubey, Coupled Fixed Point Results with cdistance in Cone Metric Spaces, Asia Pacific Journal of Mathematics(APJM),Vol.2,No.1(2015),pp 2040.
 Anil Kumar Dubey, Common Fixed Point Results for Contractive Mappings in Complex Valued bMetric Spaces, Nonlinear Functional Analysis and Applications (NFAA), Vol.20, No.2(2015), pp 257268, SCOPUS Indexed Journal.
 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 39023907 (Impact Factor:1.296).
 Anil Kumar Dubey, Rita Shukla and R.P.Dubey , Some Common Fixed Point Theorems for Contractive Mappings in ComplexValued bMetric Spaces, Asian Journal of Mathematics and Applications(AJMA), Vol. 2015,Article ID ama0266 ,13pages, pp 113.
 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 628633 (Impact Factor:0.91).
 Anil Kumar Dubey and Manjula Tripathi , Approximating Fixed Point in CAT(0) Spaces by siteration Process for a Pair of SingleValued and MultiValued Mappings ,International Journal of Mathematics And its Applications (IJMAA), Vol.3, Issue 4E (2015), pp3340 (Impact Factor:0.40).
 Anil Kumar Dubey, Urmila Mishra, Some fixed point results of singlevalued mapping for cdistance in tvscone metric spaces, Filomat Journal of Mathematics (FJM), 30:11(2016),pp29252934,SCI Indexed Journal (Web of Science) and SCOPUS Indexed Journal (Impact Factor:0.638).
 Anil Kumar Dubey, Complex Valued bMetric 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.
 Anil Kumar Dubey, Fixed Point Theorems for Generalized Rational Contractions in Complex Valued bMetric Spaces, Communicated for publication in Indian Journal of Science and Technology(IJST) SCI Indexed Journal (Web of Science) and SCOPUS Indexed Journal.
 Anil Kumar Dubey and Manjula Tripathi , Common Fixed Point Theorem in Complex Valued bMetric Space for Rational Contractions, Journal of Informatics and Mathematical Sciences(JIMS),Vol 7, No. 3(2015), pp 149161, ESCI Indexed Journal (Web of Science).
 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 155161,(Impact Factor:0.421).
 Anil Kumar Dubey, Manjula Tripathi and R.P.Dubey , Various Fixed Point Theorems in Complex Valued bMetric Spaces, International Journal of Engineering Mathematics (IJEM),Vol 2016, Article ID 7072606, 7 Pages, Hindawi Publishing Corporation.
 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.
 Anil Kumar Dubey , Generalization of Common Coupled Fixed Point Theorems in Complex Valued bMetric Spaces ,International Journal of Mathematics And its Applications (IJMAA), Vol.4, Issue 3A (2016), pp185196 (Impact Factor:0.40).
 Anil Kumar Dubey, Madhubala Kasar and R.P.Dubey ,Common Fixed Point Theorems for Weakly Compatible Mappings in Complex Valued bMetric Spaces ,Journal of Advances in Mathematics(JAM),Vol. 12, no.12 (2017), pp 70147021(Impact Factor:1.296).
 Anil Kumar Dubey and Urmila Mishra, Some fixed point results for cdistance in Cone metric spaces, Nonlinear Functional Analysis and Applications (NFAA), Vol.22,No.2(2017),pp 275286, SCOPUS Indexed Journal.
 Anil Kumar Dubey, Manjula Tripathi and M.D. Pandey, Common Fixed Point Results for Rational type Contraction in Complex Valued bMetric Spaces, International Journal of Pure and Applied Mathematics (IJPAM), Vol.116, No.2 (2017), pp 447456, SCOPUS Indexed Journal (Impact Factor:0.252).
 Anil Kumar Dubey and Madhubala Kasar, Some Fixed Point Results in Complex Valued Metric Spaces with Pointdependent Contractive Conditions, International Journal of Advanced Scientific and Technical Research(IJAST),Issue7,volume 3,MayJune 2017 (Impact Factor:3.54).
 Anil Kumar Dubey and Manjula Tripathi, The Existence of Fixed Point Theorems in Complex Valued bMetric Spaces, International Journal of Mathematical Archive (IJMA) , Vol 8, No. 7 (2017), pp 179183.
 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 79557962.
 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 singlevalued mapping for cdistance in TVScone metric spaces” in Second International Conference on Analysis and Applied Mathematics(ICAAM 2014).
 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 2021,2015 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 2930 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 1011 March 2016” at Bhilai Institute of Technology, Durg.
 Presented research paper entitled “Some Fixed Point Results in Complex Valued Metric Spaces with Pointdependent 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.
Papers in Journals 
Conferences paper (Full length) 
Books 
Book chapter 

National 
International 
National 
International 

09 
56 
05 
01 
01 

Total: 65 
Total: 06 


Details of Publications:
(a). Research Papers Published (National/ International Journal)
Full length paper in proc. of International / National Conferences
Books Authored
S. No. 
Name of Book 
Coauthors 
Publisher 
Year of Publication 
1 
Study of Fixed Point Theorems in TVS and Applications to Fractals 
Dr A. Narayan 
LAP LAMBERT Academic Publishing 
2014 
Other Responsibilities:
From 
To 
Administrative Position 
Major responsibility 
2009 
2010 
Assistant superintendent of exams 
Conduction of University and Professional Exams 
2014 
2016 
Assistant superintendent of exams 
Conduction of University and Professional Exams 
Felowship/Awards/Other recognitions:
 PhD supervisor of Dr. C. V. Raman University, Bilaspur, Chhattisgarh, INDIA.
 Life Membership in The Indian Science Congress Association ,
Ph.D. Supervision (Awarded/Ongoing):
S. No. 
Scholar’s Name 
Year of Regn. 
Status(Ongoing/Completed) 
1 
Mrs. Manjula Tripathi 
2016 
Ongoing 
2 
Mrs. Madhubala Kasar 
2016 
Ongoing 
3 
Mrs. Shweta Bibay 
2016 
Ongoing 
Membership:
Membership No. L32807.