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- Title
Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application.
- Authors
Ishtiaq, Umar; Jahangeer, Fahad; Kattan, Doha A.; Argyros, Ioannis K.
- Abstract
The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings. Further, we provide different concrete conditions on the real valued functions J , S : (0 , 1 ] → R for the existence of the best proximity point of generalized fuzzy (J , S) -iterative mappings in the setting of fuzzy metric space. Furthermore, we utilize fuzzy versions of J , S -proximal contraction, J , S -interpolative Reich–Rus–Ciric-type proximal contractions, J , S -Kannan type proximal contraction and J , S -interpolative Hardy Roger's type proximal contraction to examine the common best proximity points in fuzzy metric space. Also, we establish several non-trivial examples and an application to support our results.
- Subjects
AMBIGUITY tolerance; SYMMETRY; INTEGRAL equations
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 8, p1501
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15081501