Common Fixed Point Theorems on Complete and Weak \(G\)-Complete Fuzzy Metric Spaces

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 i...

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Bibliographic Details
Published inarXiv.org
Main Authors Adhya, Sugata, A Deb Ray
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.10.2023
Subjects
Fixed points (mathematics)
Fuzzy systems
Metric space
Theorems
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.08938