Common α-fixed point results for fuzzy enriched ϕ−φ contraction in F-metric spaces with application to fuzzy integro-differential equations

Автор: Rathour L., Singh V., Raji M., Danjuma Y.J., Ibrahim A., Mishra L.N., Mishra V.N.

Журнал: Пространство, время и фундаментальные взаимодействия @stfi

Статья в выпуске: 2 (51), 2025 года.

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The paper aims to introduce the notion of F-metric spaces and establish some common α-fixed point results for fuzzy enriched ϕ−φ contraction in a complete F-metric spaces. These additions broaden the body of knowledge in the existing framework on fuzzy mappings and fixed point theory. Through illustrative examples, we demonstrate the practical applicability of our theoretical results. Also, we explore the existence of solution for fuzzy initial value problem of integro-differential equations in the context of generalized Hukuhara derivative, as an application.

Common α-fixed point, F-metric space, ϕ−φ contraction mapping, Hukuhara derivative

Короткий адрес: https://sciup.org/142245866

IDR: 142245866   |   УДК: 517.9   |   DOI: 10.17238/issn2226-8812.2025.2.91-102