We study -proximal Geraghty contractions in a -metric space endowed with graph We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in endowed with a binary relation.

中文翻译：

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-Metric空间中-Geraghty映射的最佳邻近点定理

我们学习 -赋有图的-公称空间中的近端Geraghty收缩对于这种收缩，我们获得了一些最佳的接近定理。给出一个例子和几个结果。由于我们的结果，我们还提供了具有二元关系的最佳邻近点结果。