‎Fuzzy Metric Spaces and Corresponding Fixed Point Theorems for Fuzzy Type Contraction

Subject Areas : Transactions on Fuzzy Sets and Systems

Musa Adeku Ibrahim ¹ , Muhammed Raji ² , Kamilu Rauf ³

1 - Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria.
2 - Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria.
3 - Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

Received: 2024-05-06 Accepted : 2024-08-15 Published : 2024-11-05

Keywords: Fixed point‎, ‎Fuzzy fixed point‎, ‎Contractive type mapping‎, ‎Hausdorff fuzzy metric space‎, Fuzzy mapping‎.,

Abstract :

In this paper‎, ‎we present innovative concepts of fuzzy type contractions and leverage them to establish fixed point theorems for fuzzy mappings within the framework of fuzzy metric spaces‎. ‎The results of this article are applied to multivalued mappings and fuzzy mappings for contractive fuzzy type mappings‎. ‎Through illustrative examples‎, ‎we showcase the practical applicability of our proposed notions and results‎, ‎demonstrating their effectiveness in real-world scenarios‎.

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