Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces

Abstract

The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler's type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.

Keywords

• nadler's contraction
• fuzzy sets
• fuzzy fixed point
• fuzzy mapping
• hausdorff metric space