In this paper, we introduce the notion of fuzzy R − ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative examples are also given to support our newly proven results. Furthermore, we apply our main results to prove the existence and uniqueness of a solution for Caputo fractional differential equations.

New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations / DI MARTINO, Ferdinando; Sessa, Salvatore; Saleh, Samera M.; Alfaqih, Waleed M.. - In: AXIOMS. - ISSN 2075-1680. - 11:117(2022). [10.3390/ axioms11030117]

New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations

Ferdinando Di Martino;Salvatore Sessa;
2022

Abstract

In this paper, we introduce the notion of fuzzy R − ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative examples are also given to support our newly proven results. Furthermore, we apply our main results to prove the existence and uniqueness of a solution for Caputo fractional differential equations.
2022
New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations / DI MARTINO, Ferdinando; Sessa, Salvatore; Saleh, Samera M.; Alfaqih, Waleed M.. - In: AXIOMS. - ISSN 2075-1680. - 11:117(2022). [10.3390/ axioms11030117]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/877999
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