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.

中文翻译：

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-度量空间中-G映射的最佳邻近重合点结果

我们在引进型拉蒂收缩-度量空间 叫 -近端广义Geraghty映射。通过使用三角形-近端可容许性，我们获得了这些映射的最佳邻近重合点的存在性和唯一性定理，以及一些推论和说明性例子。作为一种应用，我们给出了具有二元关系的最佳邻近重合点结果。