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Keywords:
t-norm; fuzzy $\mathscr {F}$-metric space; fixed point; ODE; satellite web coupling problem
t-norm; fuzzy $\mathscr {F}$-metric space; fixed point; ODE; satellite web coupling problem
Summary:
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.
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