On the existence of best proximity points for generalized contractions

V. Vetrivel

India

Indian Institute of Technology Madras

Asrifa Sultana

India

Indian Institute of Technology Madras

Submitted: 2014-03-20

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Accepted: 2014-03-20

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Published: 2014-04-01

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

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

Supporting agencies:

This research was not funded

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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