In this paper, we obtain some best proximity point results for a new class of non-self mappings $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.

中文翻译：

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广义广义β-拟压缩映射的最佳邻近点定理

在本文中，我们获得了一类称为特殊广义近端β拟收缩的新型非自测图$ T：A \ longrightarrow B $的最佳邻近点结果。一个例子说明了我们的结果。得出了几种结果。