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Manipur Univ


DR. KUMAM ANTHONY SINGH

Designation: Associate Professor

Specialization: Topology, Functional Analysis, Fixed Point Theory

Contact: 7005354217

Email: anthonykumam [AT] manipuruniv.ac.in

PhD

Faculty Details Faculty List

Profile

Name: DR. KUMAM ANTHONY SINGH

Designation: Associate Professor

Subject Specialisation: Topology, Functional Analysis, Fixed Point Theory

E-mail Id: anthonykumam [AT] manipuruniv.ac.in

Mobile No: 7005354217

Educational Qualifications and Academic Achievements:

1. BOSEM 18th position holder in HSLC Examination, 1989

2. BOSEM Topper (1st position) in HSSLC Examination, 1991

3. M.U. Gold Medallist in TDC(Mathematics Core) Examination, 1994

4. M.Sc. (Maths) from Delhi University, 1997

5. CSIR – UGC/NET cleared in June, 1999 Exam.

6. Ph.D. - Manipur University

Teaching Experience:

1. From 16th January, 2009 to 24th August, 2010 as an Assistant Professor at the Department of Mathematics, C.I. College, Bishnupur, Manipur

2. From 25th August, 2010 to 12th January, 2023 as an Assistant Professor at the Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal, Manipur

3. From 13th January, 2023 onwards as an Associate Professor at the Department of Mathematics, Manipur University, Canchipur, Manipur

List of Research Publications

Sl.

No.

Name of Journal

Title of Paper

Author

Year of

Publication

Name of

Publisher

ISSN

1

Journal of Mathematics {SCIE(Web of Science)}

Cyclic Relatively Nonexpansive Mappings with respect to Orbits and Best Proximity Point Theorem

Joint Author

2021

Hindawi

2314-4629(Print), 2314-4785(Online)

2

Journal of Function Spaces{SCIE(Web of Science)}

Fixed Points of Generalized α-Meir-Keeler Contraction Mappings in Sb-Metric Spaces

Joint Author

2021

Hindawi

2314-8896 (Print),

2314-8888 (Online)

3

Journal of Mathematics and Computer Science (SCOPUS)

Cone Ab-metric space and some coupled fixed point theorems

First Author

2021

International Scientific Research Publications

2008-949X

4

Journal of Mathematical and Computational Science(SCOPUS)

Some fixed point theorems in MA-metric space

First Author

2020

SCIK Publishing Corporation

1927-5307

5

Journal of Mathematical and Computational Science(SCOPUS)

Fixed point theorems of weakly compatible mappings in b2-metric space satisfying (?,ψ) contractive conditions

Joint Author

2020

Same as above

Same as above

6

Journal of Mathematical and Computational Science(SCOPUS)

Some coupled fixed point theorems in cone Sb-metric space

First Author

2020

Same as above

Same as above

7

Journal of Mathematical and Computational Science(SCOPUS)

New fixed point theorems for modified generalized rational α-ψ-Geraghty contraction type maps

Single Author

2020

Same as above

Same as above

8

Journal of Mathematical and Computational Science(SCOPUS)

Fixed Points of Modified F-contractions in S-metric Spaces

Joint Author

2022

Same as above

Same as above

9

South East Asian Journal of Mathematics and Mathematical Sciences(SCOPUS)

Modified generalized α-ψ-Geraghty contraction type maps in metric space and related fixed points

First Author

2021

Ramanujan Society of Mathematics and Mathematical Sciences

0972-7752(Print), 2582-0850(Online)

10

South East Asian Journal of Mathematics and Mathematical Sciences(SCOPUS)

New generalized α-ψ-Geraghty contraction type maps and fixed points

First Author

2020

Same as above

Same as above

11

South East Asian Journal of Mathematics and Mathematical Sciences(SCOPUS)

Remarks on the paper “α-ψ-Geraghty contraction type mappings and some related fixed point results”

Single Author

2020

Same as above

Same as above

12

South East Asian Journal of Mathematics and Mathematical Sciences(SCOPUS)

Fixed point theorems for extended generalized α-ψ-Geraghty contraction type maps in metric space

Single Author

2019

Same as above

Same as above

13

South East Asian Journal of Mathematics and Mathematical Sciences(SCOPUS)

Fixed points of complex valued Ab-metric space

First Author

2019

Same as above

Same as above

14

Electronic Journal of Mathematical Analysis and Applications(CARE List)

Some remarks on the paper “Fixed point of α-Geraghty contraction with applications”

Single Author

2021

Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

2090-729X

15

Electronic Journal of Mathematical Analysis and Applications(CARE List)

Some fixed point theorems in cone Ab-metric space

First Author

2021

Same as above

Same as above

16

Electronic Journal of Mathematical Analysis and Applications(CARE List)

Fixed point theorems for generalized rational α-ψ-Geraghty contraction type mappings in metric space

First Author

2021

Same as above

Same as above

17

Electronic Journal of Mathematical Analysis and Applications(CARE List)

Fixed point theorems for generalized β-ψ-Geraghty contraction type maps in S-metric space

First Author

2020

Same as above

Same as above

18

Electronic Journal of Mathematical Analysis and Applications(CARE List)

Common fixed points in complex valued Ab-metric space

First Author

2020

Same as above

Same as above

19

Journal of Indian academy of Mathematics(UGC approved before CARE List)

Some fixed point results for generalized β-Geraghty contraction type maps in S-metric space

First Author

2019

Indian academy of Mathematics

0970-5120

20

Journal of Indian academy of Mathematics(UGC approved before CARE List)

A fixed point theorem in cone S-metric space

First Author

2018

Same as above

Same as above

21

Journal of Indian academy of Mathematics(UGC approved before CARE List)

Some fixed point theorems of cone Sb-metric space

First Author

2018

Same as above

Same as above

22

International Journal of Mathematical Sciences and Engineering Applications(IJMSEA) (UGC approved before CARE List)

Fixed point of asymptotically regular mappings of c-distance of cone metric space

First Author

2018

Ascent Publication

0973-9424


 

Paper presentations and conduct as Resource person/Technical Chair:

1. Common fixed points in complex valued Ab-metric space, presented in the UGC sponsored Two-Day National Workshop on Cryptology, held at D. M. College of Science, October 12-13, 2012.

2. Some common fixed point theorems of cone Sb-metric space, presented in the National Seminar on Advances in Mathematical Sciences, held at D. M. College of Science, Imphal, March 9-10, 2018.

3. Fixed points of complex valued Ab-metric spaces, presented in the Two-day National Seminar cum Workshop on “Atomic Energy and Radiations for Societal Development”, organized by Dhanamanjuri Community College, May 9-10, 2018.

4. Nash equilibrium and economic theory, presented in the International Conference, Transforming Leadership for Global Social & Environmental Justice: Issues and Challenges, organised by Ghanapriya Women’s College, Imphal, April 6-8, 2018.

5. Fixed points of generalized β-φ-Geraghty contraction in S-metric space, presented in Two-Day National Seminar on Recent Advances in Mathematical Sciences, organised by the Department of Mathematics, Manipur Technical University, Imphal, October 12-13, 2019.

6. Game theory and John Nash, presented in the Two Day National Workshop on recent trends in Operations Research (OR), held at D. M. College of Science, Imphal, August 19-20, 2017.

7. Metric fixed point theory and applications – A brief survey, presented in the 4th National Colloquium on Advances in Mathematical Sciences, held at D. M. College of Science, Imphal, February 28-29, 2020.

8. Some coupled fixed point theorems in cone Ab-metric space, presented in the National Conference on Applied Physics & Mathematics, held at NIT, Manipur, December 19-20, 2020 (Online Mode).

9. Fixed points of modified generalized α-φ-Geraghty contraction type maps, presented in the 27th International Conference of International Academy of Physical Sciences (CONIAPS XXVII), held at Pt. Ravishankar Shukla University Raipur, Chhattisgarh, India (online), October 26-28, 2021.

10. Chaired technical session in the Three Days National Conference on International Conference on International Pi Day, held at Manipur University, Canchipur, March 12 – 14, 2022.

11. Acted as Resource person in the workshop entitled Workshop for Textbook Analysis at Elementary Level for the state of Manipur, held at SCERT, Lamphel, Imphal, January 25 – 29, 2021 (organised by North East Regional Institute of Education, NCERT, Umiam, Meghalaya).

12. Acted as Resource person and delivered 2 lectures on Pre-number Concepts in the training programme entitled Capacity Building of KRPs of NE states on Foundational Literacy and Numeracy, held at NERIE, Shillong, October 4 – 8, 2021 (organised by North East Regional Institute of Education, NCERT, Umiam, Meghalaya).

Sl. No.

Name of Book

Title of Chapter

Year of

Publication

Name of

Publisher

ISBN

1

Current Topics on Mathematics and Computer Science (International Book)

Study on Fixed point Theorems of Weakly Compatible Mappings in b2-Metric Space satisfying Contractive Conditions

2021

B P International

978-93-91312-37-4 (Print)
978-93-91312-38-1 (eBook)

2

Advances in Multidisciplinary and Current Research

A study of the paper “Fixed Point Results for Generalized Rational alpha-Geraghty Contraction” and some Observations and Notes.

2022

Weser Books

9783964923127

3

A Quintessential Undergraduate Mathematics, Volume - III

Co-Author

2022

Sunmarg Publishers & Distributors

9789382606512

4

A Quintessential Undergraduate Mathematics, Volume - I

Co-Author

2022

Sunmarg Publishers & Distributors

9789382606529

5

Advances in Mathematical Sciences

Co-Editor

2023

Weser Books

9783964924896

Publications (other than research papers):


 

Other Academic Activities:

1. Member of Ramanujan Society of Mathematics and Mathematical Sciences and Manipur Mathematical Society

2. Associate Editor, South East Asian Journal of Mathematics and Mathematical Sciences

3. Reviewer of Journals

4. Worked as Nodal Officer(NIRF), D.M. College of Science, Dhanamanjuri University

5. Member IQAC Sub-Committee, D.M. College of Science, Dhanamanjuri University

6. Chief Editor, Annual College Magazine, D.M. College of Science, Dhanamanjuri University

7. Member of UG Syllabus Drafting Committee under Manipur University

8. Framing of Syllabus of PG course(Maths) under Dhanamanjuri University

9. Organises workshops, conferences and seminars

10. Works as resource person/subject expert under BOSEM

11. Writer and reviewer of Text Books under BOSEM