Fuzzy Metric Spaces: Optimizing Coincidence and Proximity Points

Authors

  • Koon Sang Wong Special Interest Group on Modeling and Data Analytics, Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia https://orcid.org/0009-0005-7447-2718
  • Zabidin Salleh Special Interest Group on Modeling and Data Analytics, Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia https://orcid.org/0000-0001-5877-9051
  • Habibulla Akhadkulov School of Quantitative Sciences, College of Arts & Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah, Malaysia https://orcid.org/0000-0002-0377-7486

DOI:

https://doi.org/10.37256/cm.5220242655

Keywords:

fuzzy metric space, optimal coincidence points, best proximity points, fuzzy proximal contractions

Abstract

Our manuscript puts forward two novel fuzzy proximal contractive conditions. First, we present two variants of fuzzy α-proximal quasi-H-contractions and establish optimal coincidence point outcomes for these contractions in fuzzy metric space. This manuscript’s second part proposes the fuzzy ψ-contraction for a multivalued mapping equipped with fuzzy weak P-property and achieves the best proximity point outcome in strong fuzzy metric space. The findings of this study broaden and generalize some existing research results.

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Published

2024-03-28

How to Cite

1.
Wong KS, Salleh Z, Akhadkulov H. Fuzzy Metric Spaces: Optimizing Coincidence and Proximity Points. Contemp. Math. [Internet]. 2024 Mar. 28 [cited 2024 Jul. 14];5(2):2224-43. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2655