Fixed Point Theorems on Multiplicative Cone Bipolar Metric Space and Their Applications

Authors

  • Rajagopalan Ramaswamy Prince Sattam Bin Abdulaziz University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6802

Keywords:

Multiplicative cone bipolar metric space; fixed point; covariant map; contravariant map.

Abstract

In this article, the notion of a multiplicative cone bipolar metric space is introduced. Fixed point results in the setting of these spaces have been established and supported with suitable non-trivial examples. Our results generalize and extend proven results from previous studies. The main results are applied to obtain analytical solutions to integral equations and fractional
differential equations. These findings contribute to the growing body of literature on fixed point theory and its applications in analysis.

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Published

2025-11-05

Issue

Section

Functional Analysis

How to Cite

Fixed Point Theorems on Multiplicative Cone Bipolar Metric Space and Their Applications. (2025). European Journal of Pure and Applied Mathematics, 18(4). https://doi.org/10.29020/nybg.ejpam.v18i4.6802