Best Proximity Point Results via Simulation Function with Application to Fuzzy Fractional Differential Equations

Autor:	Ghada Ali, Nawab Hussain, Abdelhamid Moussaoui
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	metric space simulation functions triangular fuzzy metric space approximately compact Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 5, p 627 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16050627
Popis:	In this study, we prove the existence and uniqueness of a best proximity point in the setting of non-Archimedean modular metric spaces via the concept of simulation functions. A non-Archimedean metric modular is shaped as a parameterized family of classical metrics; therefore, for each value of the parameter, the positivity, the symmetry, the triangle inequality, or the continuity is ensured. Also, we demonstrate how analogous theorems in modular metric spaces may be used to generate the best proximity point results in triangular fuzzy metric spaces. The utility of our findings is further demonstrated by certain examples, illustrated consequences, and an application to fuzzy fractional differential equations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ae6f54cf69a4462b9a07ba0a832158f6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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