Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces

Abstract

We study G,D-proximal Geraghty contractions in a JS-metric space X endowed with graph G. We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in X endowed with a binary relation.