New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings

New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings

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...

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Bibliographic Details
Main Authors: Yaqin Zheng, Jinwei Shi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/207896
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spelling doaj-c93faa27c4ec450f877ff993e6d859552020-11-24T23:02:09ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/207896207896New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive MappingsYaqin Zheng0Jinwei Shi1College of Science, Agricultural University of Hebei, Baoding 071001, ChinaNorth China Electric Power University, Baoding 071003, ChinaIterative 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.http://dx.doi.org/10.1155/2012/207896
collection DOAJ
language English
format Article
sources DOAJ
author Yaqin Zheng
Jinwei Shi
spellingShingle Yaqin Zheng
Jinwei Shi
New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
Abstract and Applied Analysis
author_facet Yaqin Zheng
Jinwei Shi
author_sort Yaqin Zheng
title New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
title_short New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
title_full New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
title_fullStr New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
title_full_unstemmed New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
title_sort new iterative manner involving sunny nonexpansive retractions for pseudocontractive mappings
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/207896
work_keys_str_mv AT yaqinzheng newiterativemannerinvolvingsunnynonexpansiveretractionsforpseudocontractivemappings
AT jinweishi newiterativemannerinvolvingsunnynonexpansiveretractionsforpseudocontractivemappings
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