In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind. Coincidence best proximity point theorems for these types of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our main results extend and generalize many existing results in the literature.

中文翻译：

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公制空间中近端Berinde g循环收缩的重合最佳接近点定理

在本文中，我们介绍了两个非自映射的近端Berinde g循环收缩和近端Berinde g收缩的概念，称为第一类和第二类近端Berinde g循环收缩。给出了度量空间中这些类型映射的重合最佳邻近点定理。还给出了一些例子说明我们的主要结果。我们的主要结果扩展并概括了文献中的许多现有结果。