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

Autor: Samera M. Saleh, Waleed M. Alfaqih, Salvatore Sessa, Ferdinando Di Martino
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Axioms, Vol 11, Iss 3, p 117 (2022)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms11030117
Popis: 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.
Databáze: Directory of Open Access Journals