On the existence of best proximity points for generalized contractions

V. Vetrivel; Asrifa Sultana

doi:10.4995/agt.2014.2221

Authors

V. Vetrivel Indian Institute of Technology Madras
Asrifa Sultana Indian Institute of Technology Madras

DOI:

https://doi.org/10.4995/agt.2014.2221

Keywords:

Fixed points, Generalized contractions, $P$-property, best proximity point.

Abstract

In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent best proximity point theorems and several fixed point theorems proved by various authors.

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