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.File | Dimensione | Formato | |
---|---|---|---|
axioms-11-00117-v2.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Dominio pubblico
Dimensione
325.55 kB
Formato
Adobe PDF
|
325.55 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.