A Best Proximity Point Theorem for G-Proximal (delta, 1-delta) Weak Contraction in Complete Metric Space Endowed with a Graph

Abstract

The notion of (delta, 1-delta) weak contraction appeared in [1]. In this paper, we consider that the map satisfying the (delta, 1-delta) weak contraction is a non-self map, and obtain a best proximity point theorem in complete metric space endowed with a graph.