In this paper, we consider a general class of non-self non expansive mappings and present best proximity point results in Hilbert spaces. More precisely, we employ a Krasnosel’skiĭ–Mann type algorithm to approximate best proximity points of non-self mappings. We also propose some hybrid algorithms and obtain certain strong convergence results.

中文翻译：

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逼近 Reich 类型非自非膨胀映射的最佳邻近点

在本文中，我们考虑一类非自非扩展映射，并在希尔伯特空间中呈现最佳邻近点结果。更准确地说，我们采用 Krasnosel'skiĭ–Mann 类型算法来逼近非自映射的最佳邻近点。我们还提出了一些混合算法，并获得了一定的强收敛结果。