Common Fixed Point Theorems on Complete and Weak $G$-Complete Fuzzy Metric Spaces

Applied General Topology 2024 Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy metric spaces. In particular, we r...

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Bibliographic Details
Main Authors Adhya, Sugata, Ray, A. Deb
Format Journal Article
LanguageEnglish
Published 17.11.2021
Subjects
Mathematics - General Topology
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Summary:Applied General Topology 2024 Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy metric spaces. In particular, we rectified, generalize and improve the common fixed point theorem obtained by Turkoglu and Sangurlu [Journal of Intelligent & Fuzzy Systems, 26(1), 137-142] for two fuzzy $\psi$-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results.
DOI:10.48550/arxiv.2111.08938