Exploring fixed point results in fuzzy $\mathscr{F}$-metric spaces with an application to satellite web coupling problem

TL;DR

This paper investigates fixed point theorems in fuzzy -metric spaces and applies these results to the satellite web coupling problem, providing theoretical insights and illustrative examples.

Contribution

It introduces a fixed point theorem in fuzzy -metric spaces and demonstrates its application to a practical satellite web coupling problem.

Findings

Established fixed point theorem in fuzzy -metric spaces

Applied fixed point results to satellite web coupling problem

Provided examples and graphical illustrations

Abstract

This article explores several fundamental aspects of fuzzy $\mathscr{F}$-metric spaces and their applications in mathematical analysis. We investigate some essential properties concerning compactness and total boundedness in fuzzy $\mathscr{F}$-metric spaces. Within this framework, we present a fixed point theorem and demonstrate its utility by applying it to the satellite web coupling problem. To support the theoretical findings, illustrative examples and a graphical representation of the contraction condition are also provided.