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

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.

Keywords

• fixed point‎
• ‎fuzzy fixed point‎
• ‎contractive type mapping‎
• ‎hausdorff fuzzy metric space‎
• fuzzy mapping‎.