Work

New common fixed point theorems for quartet mappings on orthogonal S -metric spaces with applications

Year: 2024

Type: article

Abstract: In this article, we extend the scope of fixed point theory by proving a common fixed point theorem applicable to quartet mappings defined on orthogonal \(\mathcal{S}\)-metric spaces. Our theorems establish conditions under which the quartet mappings \(\Phi, \Psi, \mathcal{H}\), and \(\mathcal{K}\) are orthogonal preserving, orthogonal continuous, and pairwise compatible mappings, possess a unique common fixed point. To elucidate the practical implications of our theoretical result, we present a concrete example illustrating its application. Finally, we demonstrate the versatility of our theorem by applying it to establish the existence and uniqueness of solutions for Volterra-type integral system, production-consumption equilibrium and fractional differential equations.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.038.01.06

Authors: B. W. Samuel, G. Mani, P. Ganesh, S. T. M. Thabet, I. Kedim, M. Vivas-Cortez

Institutions: Saveetha University, St. Joseph’s College of Engineering, Prince Sattam Bin Abdulaziz University, Pontificia Universidad Católica del Ecuador

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sattam bin Abdulaziz University

Award: G1907255029