Some theorems on fixed points in bi-complex valued metric spaces  with an application to integral equations

Authors

  • A. Murali School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India
  • K. Muthunagai School of Advanced Sciences, VIT University, Chennai-600 127, Tamil Nadu, India

Keywords:

common fixed point, metric space, control functions, Rational expressions

Abstract

Recent studies have highlighted fixed point theorems in the context of bicomplex valued metric spaces, utilizing rational type contractions with coefficients defined by two-variable control functions. In our research, we extend these findings by proposing new theorems for identifying common fixed points within bicomplex valued metric spaces, employing rational type contractions characterized by three-variable control functions as coefficients. We have refined the contraction conditions presented in numerous existing theorems by substituting constants with a limited number of control functions for more versatility in bicomplex valued metric spaces. This advancement broadens the scope of several significant findings in the literature. To demonstrate the efficacy of our results, we offer compelling examples that validate our theorems. Furthermore, we apply our primary findings to effectively address the Urysohn integral equation system, showcasing the practical application of our research.

Dimensions

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1750

Published

2024-03-13

How to Cite

Some theorems on fixed points in bi-complex valued metric spaces  with an application to integral equations. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1750. https://doi.org/10.46481/jnsps.2024.1750

Issue

Volume 6, Issue 2, May 2024 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 A. Murali, K. Muthunagai

Creative Commons License

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

How to Cite

Some theorems on fixed points in bi-complex valued metric spaces  with an application to integral equations. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1750. https://doi.org/10.46481/jnsps.2024.1750