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2012 New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
Yaqin Zheng, Jinwei Shi
Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/207896

Abstract

Iterative methods for pseudocontractions have been studied by many authors in the literature. In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. Consequently, we show that the suggested algorithm converges strongly to a fixed point of the pseudocontractive mapping which also solves some variational inequality.

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Yaqin Zheng. Jinwei Shi. "New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings." Abstr. Appl. Anal. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/207896

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1253.65092
MathSciNet: MR2994916
Digital Object Identifier: 10.1155/2012/207896

Rights: Copyright © 2012 Hindawi

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