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Dr. V. Pragadeeswarar

Assistant Professor (Sl. Gd.), Department of Mathematics, School of Physical Sciences, Coimbatore

Qualification: M.Phil., MSc, Ph.D.
v_pragadeeswarar@cb.amrita.edu
Google Scholar Profile
Scopus ID
Research Interest: Best proximity point theory, Fixed point theory and applications, Fractal analysis

Bio

Dr. V. Pragadeeswarar currently serves as Assistant Professor (Sl.Gr) at the Department of Mathematics, School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore Campus. He joined Amrita Vishwa Vidyapeetham, Coimbatore, in June 2015.

Publications

Journal Article

Year : 2026

Common Best Proximity Point Theorems In Neutrosophic Complete Metric Spaces

Cite this Research Publication : V. Pragadeeswarar, A. Sreelakshmi Unni, Common best proximity point theorems in neutrosophic complete metric spaces, Neutrosophic Sets and Systems, 95 (2026), 26–45.

Publisher : Neutrosophic Sets and Systems

Year : 2025

Coupled Fixed Point Theorems in Orthogonal Sets

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Coupled Fixed Point Theorems in Orthogonal Sets, Springer Proceedings in Physics, Springer Nature Switzerland, 2025, https://doi.org/10.1007/978-3-031-58641-5_36

Publisher : Springer Nature Switzerland

Year : 2025

Existence and uniqueness of best proximity point in non-Archimedean neutrosophic complete metric space

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Existence and uniqueness of best proximity point in non-Archimedean neutrosophic complete metric space, Neutrosophic Sets and Systems, 91, 1 (2025), 55

Publisher : Neutrosophic Sets and Systems

Year : 2025

Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space

Cite this Research Publication : V. Pragadeeswarar, V. Thinkal, Manuel De la Sen, Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space, International Journal of Analysis and Applications, SCIK Publishing Corporation, 2025, https://doi.org/10.28924/2291-8639-23-2025-95

Publisher : SCIK Publishing Corporation

Year : 2025

Approximating Best Proximity Point of Multivalued Mappings via Mann’s Iteration and Ishikawa’s Iteration

Cite this Research Publication : V. Pragadeeswarar, R. Gopi, Approximating Best Proximity Point of Multivalued Mappings via Mann’s Iteration and Ishikawa’s Iteration, Fixed Point Theory, 26, 2 (2025).

Publisher : Fixed Point Theory

Year : 2025

Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration

Cite this Research Publication : Veerasamy Pragadeeswarar, Raju Gopi, Choonkil Park, Jung Rye Lee, Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration, International Journal of Applied and Computational Mathematics, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s40819-025-01950-6

Publisher : Springer Science and Business Media LLC

Year : 2025

Existence and uniqueness of fractals in fuzzy metric space via best proximity point

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Existence and uniqueness of fractals in fuzzy metric space via best proximity point, Rendiconti del Circolo Matematico di Palermo Series 2, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s12215-025-01269-7

Publisher : Springer Science and Business Media LLC

Year : 2025

Common Fixed Point Theorems in Orthogonal Sets

Cite this Research Publication : V. Pragadeeswarar, V. Vishnu KS, Manuel De la Sen, Common Fixed Point Theorems in Orthogonal Sets, International Journal of Analysis and Applications, SCIK Publishing Corporation, 2025, https://doi.org/10.28924/2291-8639-23-2025-196

Publisher : SCIK Publishing Corporation

Year : 2025

Construction of Proximal Fuzzy Iterated Function Systems

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Manuel De la Sen, Construction of Proximal Fuzzy Iterated Function Systems, International Journal of Analysis and Applications, SCIK Publishing Corporation, 2025, https://doi.org/10.28924/2291-8639-23-2025-275

Publisher : SCIK Publishing Corporation

Year : 2025

Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory, Fixed Point Theory and Algorithms for Sciences and Engineering, Springer Science and Business Media LLC, 2025, https://doi.org/10.1186/s13663-025-00784-7

Publisher : Springer Science and Business Media LLC

Year : 2025

Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

Cite this Research Publication : Qiming Zhao, A. Sreelakshmi Unni, V. Pragadeeswarar, Yongqiao Wang, Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces, Mathematics, MDPI AG, 2025, https://doi.org/10.3390/math13233819

Publisher : MDPI AG

Year : 2024

Common best proximity point theorems in Hausdorff topological spaces

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Common best proximity point theorems in Hausdorff topological spaces, Journal of Inequalities and Applications, Springer Science and Business Media LLC, 2024, https://doi.org/10.1186/s13660-024-03168-4

Publisher : Springer Science and Business Media LLC

Year : 2023

Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme

Cite this Research Publication : V. Pragadeeswarar, R. Gopi, Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme, Fixed Point Theory and Algorithms for Sciences and Engineering, Springer Science and Business Media LLC, 2023, https://doi.org/10.1186/s13663-023-00757-8

Publisher : Springer Science and Business Media LLC

Year : 2023

Common best proximity point theorems for proximally weak reciprocal continuous mappings

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Manuel De la Sen, Common best proximity point theorems for proximally weak reciprocal continuous mappings, AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), 2023, https://doi.org/10.3934/math.20231442

Publisher : American Institute of Mathematical Sciences (AIMS)

Year : 2023

Common Best Proximity Points for Proximal Weak Commuting Mappings in Metric Spaces

Cite this Research Publication : R. Gopi, V. Pragadeeswarar, Common Best Proximity Points for Proximal Weak Commuting Mappings in Metric Spaces, Iranian Journal of Mathematical Sciences and Informatics, 18, 2 (2023), 11–23

Publisher : Iranian Journal of Mathematical Sciences and Informatics

Year : 2023

Existence of Best Proximity Point in O-CompleteMetric Spaces

Cite this Research Publication : G. Poonguzali, V. Pragadeeswarar, Manuel De la Sen, Existence of Best Proximity Point in O-CompleteMetric Spaces, Mathematics, MDPI AG, 2023, https://doi.org/10.3390/math11163453

Publisher : MDPI AG

Year : 2023

Existence of best proximity point in O- complete metric spaces

Cite this Research Publication : Poonguzali, G., V. Pragadeeswarar,Manuel De la Sen, Existence of Best Proximity Point in O-CompleteMetric Spaces, Mathematics, 11,16 (2023), 3453.

Publisher : Mathematics

Year : 2022

Thakur’s iterative scheme for approximating common fixed points to a pair of relatively nonexpansive mappings

Cite this Research Publication : Gopi, R., V. Pragadeeswarar,M. De La Sen, Thakur’s Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings, Journal of Mathematics, 2022, (2022).

Publisher : Journal of Mathematics

Year : 2022

Approximating fixed points of relatively nonexpansivemappings via Thakur iteration

Cite this Research Publication : V. Pragadeeswarar, R. Gopi,M. De la Sen, Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration, Symmetry,14,6 (2022), 1107

Publisher : Symmetry

Year : 2021

Existence of common best proximity point for single and multivalued non-self mappings

Cite this Research Publication : V. Pragadeeswarar, R. Gopi., Existence of common best proximity point for single and multivalued non-self mappings, Carpathian Journal of Mathematics, 37, 2 (2021), 273-285

Publisher : Carpathian Journal of Mathematics

Year : 2021

Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces

Cite this Research Publication : V. Pragadeeswarar,R. Gopi, Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces, AfrikaMatematika, 32,1-2 (2021), 289-300.

Publisher : AfrikaMatematika

Year : 2021

Approximating common fixed point via Ishikawa’s iteration

Cite this Research Publication : Gopi, R., and V. Pragadeeswarar, Approximating common fixed point via Ishikawa’s iteration, Fixed Point Theory, 22, 2 (2021)

Publisher : Fixed Point Theory

Year : 2020

Best Proximity Point for the Sum of Two Non-Self-Operators

Cite this Research Publication : V. Pragadeeswarar, R. Gopi, M. De la Sen, Best Proximity Point for the Sum of Two Non-Self-Operators, Journal of Mathematics, 2020 (2020), 1-7

Publisher : Journal of Mathematics

Year : 2020

Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces

Cite this Research Publication : Gopi, Raju, Veerasamy Pragadeeswarar, Choonkil Park, Dong Yun Shin, Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces, AIMS MATHEMATICS, 5, 6 (2020), 6913-6928

Publisher : AIMS MATHEMATICS

Year : 2020

Proximally Compatible Mappings and Common Best Proximity Points

Cite this Research Publication : V. Pragadeeswarar, R. Gopi, Manuel De la Sen, StojanRadenović, Proximally Compatible Mappings and Common Best Proximity Points, Symmetry, 12, 3 (2020), 353

Publisher : Symmetry

Year : 2020

Determining fuzzy distance via coupled pair of operators in fuzzy metric space

Cite this Research Publication : Gopi, R., V. Pragadeeswarar, Determining fuzzy distance via coupled pair of operators in fuzzy metric space, Soft Computing, 24, 13 (2020), 9403-9412

Publisher : Soft Computing

Year : 2019

Existence and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space

Cite this Research Publication : V. Pragadeeswarar, R. Gopi, Existence and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space, Fuzzy Information and Engineering, 11, 1 (2019), 54-63

Publisher : Fuzzy Information and Engineering

Year : 2018

Common best proximity points for weakly proximal increasing mappings

Cite this Research Publication : V. Pragadeeswarar, Common best proximity points for weakly proximal increasing mappings, Thai Journal of Mathematics, (2018).

Publisher : Thai Journal of Mathematics

Year : 2017

Common best proximity point theorem for multivalued mappings in partially ordered metric spaces

Cite this Research Publication : V. Pragadeeswarar, Poonguzali, G., Marudai, M., and Radenović, S., “Common best proximity point theorem for multivalued mappings in partially ordered metric spaces”, vol. 2017, no. 1, p. 22, 2017.

Year : 2016

Best proximity point theorems for multivalued mappings on partially ordered metric spaces

Cite this Research Publication : V. Pragadeeswarar, Marudai, Mb, and Kumam, Pcd, “Best proximity point theorems for multivalued mappings on partially ordered metric spaces”, Journal of Nonlinear Science and Applications, vol. 9, pp. 1911-1921, 2016.

Publisher : Journal of Nonlinear Science and Applications

Year : 2015

Best proximity points for generalized proximal weak contractions in partially ordered metric spaces

Cite this Research Publication : Pragadeeswarar, V., M. Marudai, Best proximity points for generalized proximal weak contractions in partially ordered metric spaces, Optimization Letters, 9 (2015), 105-118

Publisher : Optimization Letters

Year : 2015

Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces

Cite this Research Publication : V. Pragadeeswarar, M. Marudai, Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces, In Abstract and Applied Analysis, 2015 (2015), Hindawi.

Publisher : Abstract and Applied Analysis

Year : 2014

Coupled best proximity points in ordered metric spaces

Cite this Research Publication : P. Kumam, V. Pragadeeswarar, M. Marudai, K. Sitthithakerngkiet, Coupled best proximity points in ordered metric spaces, Fixed Point Theory and Applications, 2014, 1 (2014), 1-13.

Publisher : Fixed Point Theory and Applications

Year : 2014

The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space

Cite this Research Publication : V. Pragadeeswarar, M. Marudai, P. Kumam, K. Sitthithakerngkiet,Theexistence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space, Abstract and Applied Analysis, 2014 (2014), Hindawi

Publisher : Abstract and Applied Analysis

Year : 2014

Best proximity point for generalized proximal weak contractions in complete metric space

Cite this Research Publication : E. Karapınar, V. Pragadeeswarar, M. Marudai, Best proximity point for generalized proximal weak contractions in complete metric space, Journal of Applied Mathematics, 2014 (2014)

Publisher : Journal of Applied Mathematics

Year : 2013

Fixed point theorems for generalized weak contractions satisfying rational expression on a ordered partial metric space

Cite this Research Publication : E. Karapınar, M. Marudai, V.Pragadeeswarar,Fixed point theorems for generalized weak contractions satisfying rational expression on a ordered partial metric space, Lobachevskii Journal of Mathematics, 34, 1(2013), 116–123.

Publisher : Lobachevskii Journal of Mathematics

Year : 2013

Best proximity points: approximation and optimization in partially ordered metric spaces

Cite this Research Publication : V. Pragadeeswarar, M. Marudai, Best proximity points: approximation and optimization in partially ordered metric spaces, Optimization Letters, 7 (2013), 1883-1892

Publisher : Optimization Letters

Year :

Fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered partial metric space

Cite this Research Publication : V. Pragadeeswarar, M. Marudai, Fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered partial metric space, Thai Journal of Mathematics, 12, 3 (2014), 613-620

Publisher : Thai Journal of Mathematics

Qualification
Qualification Institution Year
Doctor of Philosophy (Ph.D.) in Mathematics Bharathidasan University, Trichy 2015
Master of Philosophy (M.Phil.) in Mathematics Bharathidasan University, Trichy 2010
Master of Science (M.Sc.) in Mathematics Bharathidasan University, Trichy 2009
Research

Research Interests:

  • Best proximity point theory
  • Fixed point theory and applications
  • Fractal analysis

Ph.D. Students:

  • R. Gopi – (2018 – 2021) – Completed
  • Sreelakshmi Unni A –(2021- till date) – Ongoing

Research Grants:

  • Project Title: Best Proximity point iteration for various types of non self mappings
    Role: PI
    Duration: October 2017- November 2020
    Funding Agency: NBHM (No.02011/22/2017/R&D II /14080)
    Amount: 12,81,100
  • Project Title: Existence of best proximity points for the sum of two operators
    Role: Co-PI
    Duration:2023-2026
    Funding Agency: NBHM (No.02011/9/2023/R&D II /3068)
    Amount:₹18,50,180
  • Project Title: Existence of fractals trough best proximity points
    Role: PI
    Duration: 2026-2029
    Funding Agency: NBHM (No.02011/50(8)/2025/R&D II /1021)
    Amount: 2,00,500

Reviewer:

  • TOP
  • Carpathian Journal of Mathematics
  • Cogent Mathematics
  • Journal of Mathematical and Computational Science
  • OPSEARCH
  • Journal of Mathematics
  • The Journal of Analysis
Achievements
  • Worked as a JRF in a UGC project between October 2012 and March 2013.
  • Awarded SRF by CSIR from April 2013 to March 2015.
  • Awarded NBHM-Postdoctoral fellowship in 2015 (Not availed).
  • Received SET Lectureship in Mathematics conducted by the Government of Tamil Nadu in the year 2017.
  • Received the “Excellence in Research” Award by Amrita School of Engineering, Coimbatore for the academic year 2016-2017.
  • Received the “Amrita Innovation and Research Award”(AIRA-2021) for the academic year 2020- 2021.
  • Received the “Chancellor’s Award For Extramural Grant ” for the academic year 2023-2024.
  • Received the “Chancellor’s Publication Excellence Award” for the academic year 2023- 2024.
Conferences / Seminars / Workshops Participated
  • National Conference on Non-linear Functional Analysis held at the Department of Mathematics, ManonmaniamSundaranar University, Tirunelveli, Tamilnadu, India during March 3-5, 2011.
  • National Conference on Frontiers of Pure and Applied Mathematics held at the Department of Mathematics, The Hindu College,Tirunelveli, Tamilnadu, India during March 21-22, 2012.
  • National Workshop on Eigenvalues of operators with gaps and applications to the Dirac operator organized by TIFR-CAM, Tata Institute of Fundamental Research, Bangalore, Karnataka, India during 26th October –9th November, 2012.
  • National Seminar on Free and Open Source Mathematical Soft-ware organized by the Department of Mathematics, Government College, Chittur, Kerala, India during December 7-9, 2012.
  • National Conference on Frontiers in Analysis and Differential Equations held at the Department of Mathematics, Bharathidasan University, Tiruchirappalli,Tamilnadu, India during December 19-20, 2012.
  • National Workshop on Nonlinear Functional Analysis & Its Applications organized by the Department of Mathematics, University of Kashmir, Srinagar, Jammu and Kashmir, India during October 21- 29, 2013.
  • Annual Foundation School – Part I (2013) conducted at Kerala School of Mathematics, Kozhikode, Kerala, India during December 2-28, 2013.
  • One Day National Seminar on Recent Trends in Mathematics & Its Applications organized by the Department of Mathematics, Vysya College, Salem, Tamilnadu, India on 22nd February, 2014.
  • International Five-Day E-FDP on Fixed Point Theory and Its Applications organized by the Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan-303007, India during September 15-19, 2020.
  • National Conference on Mathematical Analysis and Computing organized by the Department of Mathematics, SreeSevuganAnnamalai College, Devakottai, Sivagangai, Tamil Nadu on 28th May 2021.
  • Webinar on How to write a research paper for an international Journal –Tips, Traps & Tricks Springer Nature for Amrita Vishwa Vidyapeetham on 30/7/2021.
  • Chair of the paper presentation sessions at the 36th Annual Conference of Ramanujan Mathematical Society and Pre-Conference Symposium Amrita Vishwa Vidyapeetham, Coimbatore during August 4 -7, 2021.
  • Webinar Series on Ethics of Publication, ICMR, on 23/11/2021.
  • 5 days Faculty Development Program- Student Induction on UHV, AICTE, during 24/2/2022- 4/3/ 2022.
  • 3 days E- Workshop on Examination Reforms, AICTE during 28/6/2022- 30/6/2022.

Invited Talks:

  • Delivered a three-day Compact Course Workshop on Analysis at the Department of Mathematics, St. Dominic’s College, Kanjirapally, Kottayam, Kerala (18–20 October 2024).
  • Delivered an invited talk on “Fixed Points and Fractals” at Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore–641 043, Tamil Nadu, on 3 February 2025.
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