A new fixed point result in bipolar controlled fuzzy metric spaces with application

Abstract

In this paper, we introduce the notion of bipolar controlled fuzzy metric spaces which is an extension of the result of Sezen [20]. The paper concerns our sustained efforts for the materialization of controlled fuzzy metric spaces.Further, we establish a Banach-type fixed point theorem. We provide suitable examples with graphics which validate our result. We also employ an application to substantiate the utility of our established result to find the unique solution of an integral equation arising in automobile suspension system.