Open Access
Translator Disclaimer
2013 The Existence Theorems of an Optimal Approximate Solution for Generalized Proximal Contraction Mappings
Wutiphol Sintunavarat, Poom Kumam
Abstr. Appl. Anal. 2013(SI43): 1-8 (2013). DOI: 10.1155/2013/375604

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.

Citation

Download Citation

Wutiphol Sintunavarat. Poom Kumam. "The Existence Theorems of an Optimal Approximate Solution for Generalized Proximal Contraction Mappings." Abstr. Appl. Anal. 2013 (SI43) 1 - 8, 2013. https://doi.org/10.1155/2013/375604

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1297.54106
MathSciNet: MR3095354
Digital Object Identifier: 10.1155/2013/375604

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2013 • No. SI43 • 2013
Back to Top