Abstract

In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.

中文翻译：

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关于内插性近端收缩的最佳邻近点

摘要

在本文中，我们介绍了一些名为 Reich-Rus-Ćirić 和 Kannan 类型的插值近端收缩。然后考虑到上述映射，我们给出了一些最佳邻近点结果。作为特殊情况，我们获得了一些内插收缩的不动点结果。为了支持该理论，提供了一些例子。