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Best proximity point theorems for contractive mappings

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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.

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Authors and Affiliations

  1. Department of Mathematics, Anna University, Chennai, 600 025, India

    S. Sadiq Basha

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  1. S. Sadiq Basha
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Correspondence to S. Sadiq Basha.

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Basha, S.S. Best proximity point theorems for contractive mappings. J. Fixed Point Theory Appl. 20, 87 (2018). https://doi.org/10.1007/s11784-018-0560-3

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  • DOI: https://doi.org/10.1007/s11784-018-0560-3

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