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A best proximity point theorem for α-proximal Geraghty non-self mappings
Fixed Point Theory and Applications Pub Date : 2019-06-03 , DOI: 10.1186/s13663-019-0661-8
Mohamed Iadh Ayari

In this paper, we search some best proximity point results for a new class of non-self mappings $T:A \longrightarrow B$ called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequences are derived. As applications, we investigate the existence of best proximity points for a metric space endowed with symmetric binary relation.

中文翻译:

α-近邻格拉非非自映射的最佳邻近点定理

在本文中,我们搜索了一些新的非自已映射$ T:A \ longrightarrow B $的最佳邻近点结果,该映射称为α-近邻格拉格蒂映射。我们的结果扩展了文献中出现的许多最新结果。我们建议一个例子来支持我们的结果。得出了几种结果。作为应用,我们调查了具有对称二进制关系的度量空间的最佳邻近点的存在。
更新日期:2019-06-03
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