Fixed Point and Coupled Fixed Point Theorems on Modular Bipolar Metric Space with an Application to Integral Equations

Authors

  • Maria Merlin S Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli 620002, Tamil Nadu, India.
  • Leema Maria Prakasam A Assistant Professor, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli 620002, Tamil Nadu, India.

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2025.16.12.20

Keywords:

cauchy bisequence, contravariant map, covariant map, modular bipolar metric

Abstract

We introduce the concept of modular bipolar metric space and prove fixed point and coupled fixed point theorems on modular bipolar metric space using covariant and contravariant conditions. We provide an application to an integral equation.

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Published

25-12-2025

Issue

Vol. 16 No. 12 (2025): The Scientific Temper

Section

Research article

License

Copyright (c) 2025 The Scientific Temper

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Fixed Point and Coupled Fixed Point Theorems on Modular Bipolar Metric Space with an Application to Integral Equations. (2025). The Scientific Temper, 16(12), 5328-5336. https://doi.org/10.58414/SCIENTIFICTEMPER.2025.16.12.20

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