Fixed point results of fuzzy mappings with applications

Autor: Amer Hassan Albargi, Jamshaid Ahmad
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 5, Pp 11572-11588 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023586?viewType=HTML
Popis: Jleli and Samet introduced the notion of F-metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of these generalized metric spaces. The aim of this article is to utilize F-metric space and establish some common α-fuzzy fixed point theorems for rational (β-ϕ)-contractive conditions. Our results extend, generalize and unify some well-known results in the literature. As application of our main result, we discuss the solution of fuzzy integrodifferential equations in the setting of a generalized Hukuhara derivative.
Databáze: Directory of Open Access Journals