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

Abstract

Copyright © 2020 Atit Wiriyapongsanon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce a type of Geraghty contractions in a JS-metric space X, called ðα, DÞ-proximal generalized Geraghty mappings. By using the triangular-ðα, DÞ-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.