On the existence of best proximity points for generalized contractions

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 auth...

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Bibliographic Details
Main Authors: V. Vetrivel, Asrifa Sultana
Format: Article
Language:English
Published: Universitat Politècnica de València 2014-04-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2221
Description
Summary: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.
ISSN:1576-9402
1989-4147