A Solution of Fredholm Integral Inclusions via Suzuki-Type Fuzzy Contractions

Abstract

In this study, we introduce fuzzy weak $\varphi$ -contraction and Suzuki-type fuzzy weak $\varphi$ -contraction and employ these to prove some fuzzy fixed point results for fuzzy mappings in the setting of metric spaces, which is followed by an example to support our claim. Next, we deduce some corollaries and fixed point results for multivalued mappings from our main result. Finally, as an application of our result, we provide the existence of a solution for a Fredholm integral inclusion.