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

Wutiphol Sintunavarat and Poom Kumam

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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 contractions of the first and second kinds which are more general than the notion of self-contractions, establish the existence of an optimal approximate solution theorems for these non-self-mappings, and also give examples to validate our main results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:375604

DOI: 10.1155/2013/375604

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