Name: Dr. V . K. Gupta
Educational Qualification: M.Sc., Ph. D. (Mathematics).
Present Post: Prof. and Head, Department
College,Ujjain
of Mathematics,Govt. Madhav science P. G.
&
Ambassador Professor, nominated by Department of higher education ,Govt. Of M.P.,Bhopal.
Teaching Experience: 32 years teaching experience of B.Sc. & M.Sc. classes.
Life Member:
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Indian Mathematical Society, established in 1907.
Indian Science Congress.
Varahmihir Journal of Mathematical Sciences Ujjain.
Varahmihir institute of Scientific Heritage & Research Ujjain(M.P.)(Secretary and founder
member),An Institute affiliated to MPCOST, Bhopal and DST, New Delhi.
Honorary Director of Institute of Vedic Mathematics & Research, Ujjain.
Member and advisor
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Central Board of Studies, Department of Higher Education,Govt. Of M.P. ,Bhopal.
Advisor of Vikram Mathematical Journal published by Vikram university ,Ujjain.
Member, Board of Studies, Vikram university ,Ujjain.
Member, Board of Studies, D.A.V.V., Indore.
Member, Board of Studies, Holkar Autonomous Science College, Indore.
Member, Board of Studies, Atal Bihari Bajpeyee Hindi VIshwaVidyalay,Bhopal.
Advisor and referee of an International multidisciplinary referred journal, ”Naveen Shodh
Sansaar ISSN 2320-8767.”
Referee and Advisor of Various National & International Journals of Mathematics & Research
Chief editor of an International Research Journal ISSN 097-6459.
Advisor of Vedic Mathematics Courses & Certificate courses in Kavi Guru Kalidas
University,Nagpur.(Maharashtra).
Advisor of Vedic Mathematics Courses & Certificate courses in Atal Bihari Bajpeyee Hindi
VIshwaVidyalay,Bhopal.
Advisor of M.Phil. Courses by Vice chancellor nominee, In Vikram University Ujjain .
Advisor of Ph.D. Courses Syllabus in DAVV University , Indore
Examiner of Ph.D. Theses in various state .
Advisor & Member of School Education Department, Govt. Of M.P. for promoting
Mathematics, Ramanujan Mathematics and Vedic Mathematics.
Award, Honour and Appreciation:
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Honoured & Appreciation Certificate by Department of Science & Technology Govt. Of India
,New Delhi in National Teacher Science Congress, Ujjain.
Honoured & Appreciation Certificate by the Director General of MPCOST Bhopal for Science
Popularization.
Honoured & Appreciation Certificate in U.G.C. Sponsored National Seminar of Mathematics,
2010.
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Honoured & Appreciation Certificate by Govt. Engineering College, Ujjain in Seminar
sponsored by AICT.
Honoured & Appreciation Certificate by Govt. M.V.M. Ujjain for declaring National
Mathematics day as 22 December by Govt. Of India,
Honoured and appreciation by various institutions, Colleges and University for declaring
„National Mathematics day‟ by Govt. Of India.
Honoured and invited as chief guest in many Institutions, Universities, and Colleges on the
occasion of „National Mathematics day‟ throughout the country.
Honoured and Invited as chief guest in Central school on „National Mathematics day‟ 22
December ,2014.
Honoured and Invited as chief guest in Centre for excellence .Govt. Girls P. G .College,
Ujjain.
Guest of Honour by Govt. Engineering College, Indore (GSITS) in National Seminar
Mathematics sponsored by MPCOST,Bhopal . dated 31-12-2012
Guest of Honour in National Seminar Mathematics sponsored by MPCOST, Bhopal in Betul
M.P. December -2012.
Guest of Honour in State Level Workshop in C.G. sponsored by CGCOST, Dhamtari .
Guest of Honour in National Conference Education and Research Scenario of Mathematical
and Computer Science sponsored UGC, New Delhi in Ravi Shankar University affiliated
College . January 29-30-2013 .
Guest of Honour in Research seminar in Govt. Girls PG College ,Ujjain sponsored by
MPCOST, Bhopal on dated 23-03-2013 .
Guest of Honour by 12 institutes of School Education Department of Ujjain Dist.
Guest of Honour by Govt. K.P. College, Dewas in Distt . Level Workshop sponsored by
Higher Education Department on „New Dimensions In Research Methodology‟ dated 28-012014.
Guest of Honour in Nationwide Sensitization Programme On Mathematics For Teacher
Organization by DST ,Govt of India ,New Delhi ,NCSTC ,New Delhi , AIPSN & Children
Science Indore dated 15-16 December 2013 On the occasion of International Year of
Mathematics for Plant Earth 2013 .
Guest of Honour by Rani Durgavati University, Jabalpur Affiliated Colleges, on occasion of
National Year of Mathematics 2012 .
Research Experience and Area of Research
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28 Years of Research Experience
84 Research Papers Published in International & National Journals are Proceeding .
Field of Research : Mathematical Modelling
 Fixed Point Theory
 Approximation Theory
 Fibonacci Series & Sequence
 Number Theory
 Vedic Mathematics
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Research Supervisor & Ph.D. Students :
6 Students Awarded Ph.D. degree under my Supervision from
Vikram University, Ujjain .
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2 Students Submitted Ph.D. degree under my Supervision from
Vikram University ,Ujjain in the year 2014-15
5 Students Presently working for Ph.D. degree
Research Supervisor in Atal Bihari Bajpai ,Hindi University ,
Bhopal & Guiding Students Ph.D. degree .
Examiner for Ph.D. Thiess in various states .
Member Research degree committee in Atal Bihari Bajpai ,Hindi
University , Bhopal
Some important International & National Seminar / Conference /Workshop
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Invited for delivering lecture as resource person in 17th
International Conference Organized by University of Rajasthan
,Jaipur dated Jan. 16 -18 ,2015 .
Invited as resource person in International Conference on History
& Development of Mathematics, JECRC University Jaipur dated
Nov. 29-30 & Dec. 1 ,2013 .
Invited as resource person in International Conference on “The
Legacy OF Srinivasa Ramanujan” Organized by University of
Delhi dated 17-22 Dec. 2012 .
Invited as resource person in second International Conference in
Ujjain on Vedic Mathematics dated 4 – 7 Nov.2012.
Invited as resource person in National Symposia “ History of India
Mathematics” sponsored by MPCOST Bhopal dated Dec. 2012.
Invited as resource person in National Conference Education and
Research Scenario of Mathematical and Computer Science
sponsored UGC, New Delhi in Ravi Shankar University affiliated
College, January 29-30-2013.
Invited as resource person in Govt. Engineering College, Indore
(GSITS) in National Seminar Mathematics sponsored by
MPCOST, Bhopal, dated 31-12-2012
Invited as resource person in Research seminar on Ganitiya Gyan
Sandhan 23-March 2013 in Govt. Girls PG College, Ujjain,
sponsored by MPCOST, Bhopal on dated 23-03-2013 .
Invited as resource person in State Level Workshop Organized by
CGCOST , Raipur on The life & Works of Srinivasa Ramanujan
from Dec. 22-24 , 2013 in Govt. PG College ,Dhamtari ,Ravi
Shankar University ,Raipur (C.G.).
Delivered talk on” Ramanujan‟s Identity and its Applications in
fluid Dynamics in National Seminar on Contribution of
Ramanujan in Mathematics and its Applications in Mathematical
Sciences sponsored by MPCOST, Bhopal and Organized by
Govt. Madhav Science College, Ujjain dated 06-07 March -2014
Delivered talk on Vedic Mathematics and its Applications,
Organized by Atal Bihari Bajpai Hindi University, Bhopal dated
06-07 Jun 2013 .
Delivered talk in State Level Workshop on “Nature of Education
in presents reference” Organized by Govt. Education College
Ujjain 05 Jan. 2014 .
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Delivered talk “Role of wavelets in Environment” in National
Conference Indian Environmentalism & Development issue
Organized by Govt. Madhav Science College, Ujjain sponsored
by MPCOST, Bhopal . dated 03-04 March , 2014
Invited for Special lecture in State Level Workshop on
„New Dimensions In Research Methodology‟ dated 28-01-2014.
sponsored by Higher Education Department Organized by Govt .
K.P. College ,Dewas.
Participated in State Level Workshop on “The use of Indian
Language in Judiciary Court ” Organized by Govt. Madhav Arts
College, SSUN Central India & Council of Advocates, Ujjain
dated 13 July ,2014.
Invited as Resource Person in National Seminar on
Crystallography & the application sponsored by MPCOST,
Bhopal on dated 23-26 Sep.2014.
Participated in National Educational Workshop Organized by
Shiksha Sanskriti Uthan Vyas & Madhav Vidya Niketan
Amritsar(Punjab) on dated 21-22,23,Feb. – 2014.
Participated in National Conference On „Emerging Trends In
Research and Analysis for Sustainable development‟ sponsored
by IACT, and U.G.C., New Delhi , on dated 27-28 March – 2012
Participated in National Workshop cum Conference On
Mathematics and Computing ,BHIWANI (HRY) on dated 21
May 2011
Participated in National Workshop On „Past Present and Future of
Higher Education in India ‟ sponsored by ISSR, , New Delhi ,
MPCOST, Bhopal ,Vikram University Ujjain on dated 15,16 Jan.
– 2010
Research Project :Worked as Principal Investigator & Project In charge in a Research
Project entitled Titled “Study of Fixed Point in Fuzzy Quasi Matrix Space
and Intuitionistic Fuzzy Quasi Matrix Space & its Applications”
Sanctioned by Mp Council of Science & Technology ,Bhopal .
Project of Rupees 448000 /- this was Sanctioned for two years 2012-13 &
2013-14 . Junior Research Fellow worked for two years @ Rs 12000/- per
Month .
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Some important Research Paper Published in International / National Journals
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Paper entitled “ A common Fixed Point theorem For Six Self
mapping under S-B property ”Published in International Journals
of Engineering Science and Mathematics Vol. 2 issue 4 ISSN
2320- 0294 ”December -2013 page 154 – 160
Paper entitled “common Fixed Point theorem in 2 Metric space ”
Published in International Journals of innovative Research &
Development Vol. 2 issue 5 page 802 – 808 ,May -2013
Paper entitled “ A common Fixed Point theorem For Six self
mapping under D* - Compatibility ”Published in International
Journals of Mathematics Research ‟ISSN 0976- 5840 Vol. 5
Number -2013 page 144– 148
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Paper entitled “Fixed Point theorem in fuzzy matrix space using
semi compatible mapping ”published in International Journals of
Advance in Inequality and Application ISSN 2050- 7461 page
10– 14 ,2014
Paper entitled “ A common Unique Random Fixed Point theorem
in Separable Hilbert Spaces ” Published in International Journals
of Mathematical Research & Science Vol. 1 issue 4 Sep -2013
page 34 – 38
Paper entitled “ On Combinations of Higher Powers of Fibonacci like Sequence ” Published in International Journals of ” Open
Journals of Mathematical modelling ) OJ M M O (2013) Vol 2
Page 63-66, U.S.A.
Paper entitled “ Generalized Identities Involving common Factors
of Generalized Fibonacci Jacobisthal and Jacobsthal – Lucas
Numbers” Published in International Journals of Analysis and
Applications ISSN 2291- 8639 Vol. 3 Number -2013
page 53 – 59, CANADA
Paper entitled “ Generalized Fibonacci Sequences and Its
Properties” Published in Palestine Journal of Mathematics
Vol. 3 (1 ) Number -2014 page 141 – 147, PALESTINA
Paper entitled “Determinantal Identities
for Generalized
Fibonacci - Type Polynomials ” Published in Open Journals of
Mathematical modelling ) O J M M O (2013) Vol 1(5) Page 159172, U.S.A.
Paper entitled “ Common Fixed Point theorem in Hilbert Space”
Published in International Journals of Applied Mathematics &
Statistical Science Vol. 3, issue I Jan 2014 page 63 – 70
Paper entitled “ Common Fixed Point theorem of An Infinite
Sequence of mappings in Hilbert Space”
Published in
International Journals of Applied Mathematics Vol. , issue I Jan
2014 page 57 – 62
Paper entitled “ A common Fixed Point theorem with Integral
Type Inequality” Published in International Research Journals of
Pure Algebra Vol. 4(3) ,2014 Page 426- 431
Paper entitled “ A common Fixed Point in Hilbert Space by
Ishikawa Iteration ” Published in International Journals of
Theoretical & Applied Science Vol. 6(1) , 2014 Page 73- 78
Paper entitled “ A common Fixed Point theorem for Four mapping
in Hilbert Space using Rational Inequality Published in
International Journals of Theoretical & Applied Science Vol. 6(1)
2014. Page 55- 59
Paper entitled “Identities of Fibonacci like Sequence” Published in
International Journals of Math Computer Science Vol. 2 Number 2012 No.6 page 1801 – 1807,UNITED KINGDOM
Paper entitled “ A Model for Hepatitis C with Saturated Chronic
infection rate” Published in International Journals of Pelagia
Research Linearly Advances in Applied Science Research
Vol. 3(5 ) ,2012 Page 3200- 3205
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Paper entitled “ Generalized Fibonacci like Polynomial and its
Determinantal Identities” Published in International Journals of
Contempt Math Science Vol. 7 Number -2012 No.29
page 1415 – 1420
Paper entitled “Fixed Point theorem in Fuzzy Metric Space with
the property (E.A.)” Published in IJRRAS Vol. 14(1) issue Jan
2013 .
Paper entitled “ An Epidemic Model with Modified Non –
monotonic Incidence Rate under Treatment ” Published in
International Journals of Applied Mathematical Sciences Vol. 6 2012, No.24 page 1159 – 1171
Paper entitled “Combinatorial Formulas involving Fibonacci
Polynomial, Fibonacci - like Polynomial & Fibonacci - like
Sequences” Published in the Proceedings of the National
Workshop cum Conference on Recent Trends in Mathematics &
computing 2011 . The Technological Institute of Textile &
Science Bhiwani Haryana May 21 -2011 page 110 – 116
Paper entitled “An Epidemiological Model with Fertility
Reduction Rate due to the infection” Published in Journals of
Ganita Sandesh Vol. 25 No. 1 June 2011 Page 79 - 84
Paper entitled “ An Epidemic Model with Reduced Transmission
under treatment ” Published in Varahmihir Journal of
Mathematical Sciences Vol. 12 , No. 1 & 2 ( 2012) Page 53 - 60
Paper entitled “ On Global Stability of SIRS Model with Vertical
Transmission ” Published in International Journals of Math
Science & Engg. Appls (IJMESA) PP 335 - 341 Vol. 07 , No. 3
May ( 2013)
Paper entitled “ Fixed Point in Menger Space for Occasionally
Weekly Compatible & Compatibility of type (P) ” Published in
International Journals of Advanced Technology in Engg. &
Science , 2(7) ,2014 Page 102 -111
Paper entitled “ Generalized Determinantal Identities involving
Lucas” Published in International Journals Applied Mathematical
Sciences, Vol 3 ,2009, No. 8 Page 377 -388, BULGARIA
Paper entitled “ Generalized Fibonacci Sequences” Published in
International Journals of Theoretical Mathematics & Applications
, Vol 2 , No. 2 , 2012 Page 115 -124, UNITED KINGDOM
Paper entitled “ Common Factors Generalized Fibonacci
Jacobsthal & Jacobthal – Lucas numbers ” Published in
International Journals of Applied Mathematical Research , Vol 1
, No. 4 , 2012 Page 377 -382, GERMANY
Paper entitled “ Some Identities of Generalized Fibonacci
Sequences ” Published in South Pacific Journals of Pure &
Applied Mathematics , Vol 1 , No. 1 , 2012 Page 80 -86, PNG
Paper entitled “
Generalized K - Fibonacci Sequences ”
Published in
International Journals of
Mathematics &
Computational Science , UNITED KINGDOM
Paper entitled “
Combinations of Combinatorial formulas
involving Fibonacci Polynomial and Second order Recursive
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Sequence” Published in International Journals of Mathematics
(Paper Accepted) PALESTINE
 Paper entitled “ Common Fixed Point Theorems of Sequence of
mapping in Hilbert Space , Ultra Science (Phyl. Sciences ) , 23(3)
(A), 2011, Page 790- 794
 Paper entitled “ A Common Fixed Point Theorems for three self
mappings in a Fuzzy Matrix Space ” Published in International
Journals of Contemp. Math. Sciences , 7 (31), 2012,Page 15091518
 Paper entitled “Common fixed point theorem in 2 Non
Archimedean Menger PM-Space using weakly L-compatible and
M- compatible maps”, published in Commendations
Mathematical, Vol. 51,No.2(2011),177-187,Poland.
 Fixed Point Theorem in 2 Non- Archimedean Menger PM-Space
using Mutually compatible mappings of Type(P),International
Organization of Science and Research ,Vol.3,2013.
 Common Fixed Point theorems in fuzzy metric space International
Journals of Advanced Technology in Engineering in Science, Vol.
No. 2, Issue No. 8 August 2014, 192 – 198 (ISSN : 2348 – 7550)
 Fixed Point in Menger space for compatibility of type (A) pf
Scientific and Innovative Mathematical Research (IJSIMR)(Print)
& ISSN 2347 – 3142 (Online).
 Single valued and multi valued mapping in G – metric space ,
Engineering Science Letters, X (2014) , Page 1 – 13 ,
 Mutually Compatible mapping of type (P) and Fixed Point
Theorem in Non – Archimedean Menger PM – space,
International Journals of Advanced Technology in Engineering in
Science, Vol. No. 2, Issue No.10 October 2014, Page 202 – 211
 Common Fixed Point theorems for finite number of weakly
compatible mapping in Quasi – Gauge space, International
Journals of Research and Reviews in Applied Science (Accepted)
 A Coupled Fixed Point Theorem and t – Norm of Hadzic Type in
Fuzzy Metric Space , Italian Journal of Pure and Applied
Mathematics , No. 4 (Accepted)
Extension Lectures & Invited talks for Ph.D./NET/UGC/CSIR/ Research Methodology /
PG/UG Classes
 Lectures delivered for PG Students & Research Scholar on UGC
& NET Caching under the XI plan in Jabalpur, For Colleges of
University of Jabalpur, dated 13- 14 March 2012
 Lectures delivered on “Ramanujan Memorial series in Jabalpur,
For Colleges of University of Jabalpur, dated 13- 14 March
2012”
 Lectures delivered on “Real Analysis & Career in Mathematics”
for PG Students in Govt. PG College ,Neemach (M.P. )Vikram
University Ujjain), dated 26 March 2012
 Lectures delivered on “Mathematical Modelling on 24-09-2013
in Raipur (C.G.) Ravi Shankar University Raipur),
 Lectures delivered on vedic Mathematics in Atal Bihari Bajapai
Hindi University ,Bhopal in the dates of
2012-13, 2013-14 &
2014-15
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Lectures delivered for Under Gradate students in Govt. Ujjain
Division Colleges in Mathematics as Ambassador Professor
nominated by Higher Education department Govt. Of M.P. in the
year 2012 - 13 & 2013 - 14
 Lectures delivered for PG Students on number theory in Govt.
College ,Khargon ,DAVV University , Indore
 Lectures delivered for PG Students on Topology in Govt.
College ,Dhar ,DAVV University , Indore
 Lectures delivered under Mathematics week by MHRD New
Delhi for Centres school ,Ujjain on dated 22-12-2014 (National
Mathematics day )
 Lectures delivered for school teacher of Mathematics of M.P. ,
C.G.,A.P.,Gujrat, Rajasthan , Maharashtra, Telangana, about
“New Techniques & Dimension in Mathematics”
Author of Books / Editing of Journal /Published Articles in Magazine
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Book entitled “A Fibonacci – Like Sequence An Elegant
Sequence” Published by LAP LAMBERT Academic Publishing ,
GERMANY .
Book entitled “Real Analysis ,Linear Algebra & Discrete
Mathematics” Published by RAM PRASAD PUBLICATION ,
AGRA .
Book entitled “LEGEENDRY MTHEMATICIAN
RAMANUJAN” Published by SHIKSHA SANSKARTI UTHAN
NYAS ,NEW DELHI .
Chief Editor of the
International Research Journal
Shodh Sampreshan ISSN 097 – 6459
Referee of an International Journal of Multi Dispensary Navin
Shodh Sansar
Chief Editor of the Proceeding of National Seminar on
Mathematics , 2011
Co Editor of the Proceeding of National Seminar on Mathematics
, 2014
Edited many Books of UG & PG level of M.P,U.P. ,C.G.
Published a Number. of Articles on Ramanujan,Vedic
Mathematics & Mathematics in Magazine , News Papers ,
Souvenir .
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