Best proximity point theorems for \((G,D)\)-proximal Geraghty maps in \(JS\)-metric spaces (Q2220515)

Summary: 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.