The Existence Theorems of an Optimal Approximate Solution for Generalized Proximal Contraction Mappings

Recently, Basha (2011) established the best proximity point theorems for proximal contractions of the first and second kinds which are extension of Banach's contraction principle in the case of non-self-mappings. The aim of this paper is to extend and generalize the notions of proximal contract...

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Bibliographic Details
Main Authors: Wutiphol Sintunavarat, Poom Kumam
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/375604