(α, F)-Geraghty-type generalized F-contractions on non-Archimedean fuzzy metric-unlike spaces

In this study, we generalize fuzzy metric-like, non-Archimedean fuzzy metric-like, and all the variants of fuzzy metric spaces. We propose the idea of fuzzy metric-unlike and non-Archimedean fuzzy metric-unlike, respectively. We also propose the idea of -Geraghty-type generalized -contraction mappin...

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Bibliographic Details
Published inDemonstratio mathematica Vol. 57; no. 1; pp. 133 - 181
Main Authors Alam, Khairul Habib, Rohen, Yumnam, Tomar, Anita
Format Journal Article
LanguageEnglish
Published De Gruyter 26.09.2024
Subjects
(α, f)-geraghty-type generalized f-contraction mapping
47H10
54H25
admissibility
contraction mapping
fuzzy metric-unlike space
Geraghty-type generalized
α-admissibility
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ISSN2391-4661
2391-4661
DOI10.1515/dema-2024-0046

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Summary:In this study, we generalize fuzzy metric-like, non-Archimedean fuzzy metric-like, and all the variants of fuzzy metric spaces. We propose the idea of fuzzy metric-unlike and non-Archimedean fuzzy metric-unlike, respectively. We also propose the idea of -Geraghty-type generalized -contraction mappings utilizing fuzzy metric-unlike and non-Archimedean fuzzy metric-unlike spaces. We investigate the presence of unique fixed points using the recently introduced contraction mappings. In order to complement our study, we consider an application to dynamic market equilibrium.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2024-0046