Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications

Abstract

In this work, we initiate the notion of a fuzzy cyclic (α,β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.

Keywords

• fuzzy b-metric space
• simulation function
• fixed point
• integral equation