Best proximity coincidence point results for \((\alpha,D)\)-proximal generalized Geraghty mappings in \(JS\)-metric spaces (Q2220506)

Summary: We introduce a type of Geraghty contractions in a \(JS\)-metric space \(X\), called \((\alpha,D)\)-proximal generalized Geraghty mappings. By using the triangular-\((\alpha,D)\)-proximal admissible property, we obtain the existence and uniqueness theorem of best proximity coincidence points for these mappings together with some corollaries and illustrative examples. As an application, we give a best proximity coincidence point result in \(X\) endowed with a binary relation.