Common fixed point theorems on complete and weak G-complete fuzzy metric spaces

Sugata Adhya; A. Deb Ray

doi:10.4995/agt.2024.20590

Authors

Sugata Adhya The Bhawanipur Education Society College https://orcid.org/0000-0001-7106-5707
A. Deb Ray University of Calcutta https://orcid.org/0000-0002-7380-0928

DOI:

https://doi.org/10.4995/agt.2024.20590

Keywords:

Common fixed point, Fuzzy metric space, Weak G-complete

Abstract

Motivated by Gopal and Vetro, we introduce a symmetric pair of β-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 for two fuzzy ψ-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results.

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Author Biographies

Sugata Adhya, The Bhawanipur Education Society College

Department of Mathematics

A. Deb Ray, University of Calcutta

Department of Pure Mathematics

References

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