Fuzzy stability of functional equations via fixed point theorem

Abstract The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the stability of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the some kind of functional equation.