Best Proximity Point Theorems for Cyclic Wardowski Type Contraction

Lakshmi Kanta Dey, Saranan Mondal

Abstract

In this article, we give an extended version of fixed point result for Wardowski type contraction and define a new type of contraction namely, cyclic Wardowski type contraction or cyclic $F$-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic $F$-contraction and also  establish best proximity result in the setting of uniformly convex Banach space.