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We introduce a type of Geraghty contractions in a JS-metric space X, called α,D-proximal generalized Geraghty mappings. By using the triangular-α,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.

Best Proximity Coincidence Point Results for α,D-Proximal Generalized Geraghty Mappings in JS-Metric Spaces