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Best proximity point theorems for contractive mappings

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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… Click to show full abstract

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.

Keywords: proximity point; point; contractive mappings; point theorems; best proximity

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2018

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