Best proximity point theorems for contractive mappings

Journal of Fixed Point Theory and Applications（2018）

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摘要

This article is concerned with some new best proximity point theorems for principal cyclic contractive mappings, proximal cyclic contractive mappings, and proximal contractive mappings. As a consequence, an interesting fixed point theorem, due to Edelstein, for a contractive mapping is obtained from all those best proximity point theorems.

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关键词

Best proximity point,fixed point,cyclic contractive mapping,principal cyclic contractive mapping,proximal contractive mapping,proximally compact space,47H10,90C26,90C30

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