Kybernetika 62 no. 2, 237-256, 2026

Exploring fixed point results in fuzzy F-metric spaces with an application to satellite web coupling problem

Dipti Barman, Abhishikta Das and Tarapada BagDOI: 10.14736/kyb-2026-2-0237

Abstract:

In this article, we study some basic properties of $ \mathscr{F}$-compactness and $ \mathscr{F}$-totally boundedness in fuzzy $ \mathscr{ F } $-metric spaces. We establish a fixed-point theorem in this setting and apply it to the satellite web coupling problem. To justify the fixed-point result, a counterexample and a graphical illustration of the contraction condition are presented. Furthermore, a numerical illustration is provided to justify the applicability of the result, where the successive iterates and the decay of the sup-norm error demonstrate the effectiveness of the proposed approach.

Keywords:

t-norm, fixed point, fuzzy $\mathscr {F}$-metric space, ODE, satellite web coupling problem

Classification:

46S40, 54H27, 55M20

paper.pdf

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