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

Sugata Adhya

https://orcid.org/0000-0001-7106-5707

India

The Bhawanipur Education Society College

Department of Mathematics

A. Deb Ray

https://orcid.org/0000-0002-7380-0928

India

University of Calcutta image/svg+xml

Department of Pure Mathematics

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Accepted: 2024-02-14

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Published: 2024-04-02

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

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

Supporting agencies:

This research was not funded

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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References:

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