Coupled fixed point theorem on orthogonal S-metric spaces and application to coupled system of nonlinear fractional Langevin equations
Abstract
In this article, we establish a coupled fixed point theorem within the framework of orthogonal S-metric spaces. Our results extend and generalize several well-known findings that are already present in the literature. Furthermore, we explore the practical applications of our primary results by examining their relevance to coupled systems of nonlinear fractional Langevin equations.
Copyright © 2024 Benitha Wises Samuel, Gunaseelan Mani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. W. Samuel, G. Mani, Coupled fixed point theorem on orthogonal S-metric spaces and application to coupled system of nonlinear fractional Langevin equations, Adv. Fixed Point Theory 14 (2024), 42. https://doi.org/10.28919/afpt/8697
BibTeX
@article{Samuel2024,
author = {Samuel, Benitha Wises and Mani, Gunaseelan},
title = {Coupled fixed point theorem on orthogonal S-metric spaces and application to coupled system of nonlinear fractional Langevin equations},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {42},
doi = {10.28919/afpt/8697}
}