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

2025/04/22 by Barman, Dipti, Das, Abhishikta, Bag, T.
#46S40 #54E35 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2505.03766

Abstract

This article explores several fundamental aspects of fuzzy \mathscrF-metric spaces and their applications in mathematical analysis. We investigate some essential properties concerning compactness and total boundedness in fuzzy \mathscrF-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.

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