Best Proximity Coincidence Point Results for -Proximal Generalized Geraghty Mappings in -Metric Spaces

摘要

We introduce a type of Geraghty contractions in a -metric space called -proximal generalized Geraghty mappings. By using the triangular--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 endowed with a binary relation.