Best Proximity Point Results for Cyclic Orbital Contraction Mappings in $CA{T}_p(0)$ Metric Spaces

Abstract

In this paper, we introduce the concept of cyclic orbital contraction mappings which generalizes the concept of cyclic contraction mappings. We establish the existence of best proximity point of these mappings in the framework of $CA{T}_p(0)$ metric spaces. Also, we study the existence of best proximity point theorems for cyclic orbital contraction mappings in uniformly convex Banach spaces.

13 pages