The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces

The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces

We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak Φ-pseduocontractive mappings in Banach spaces. We also obtain the convergence results of Mann and multistep iterations with errors. Our results extend and improve th...

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Main Authors: Guiwen Lv, Haiyun Zhou
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/169410
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spelling doaj-d622bf7298d74a969eac546f9b48a5af2020-11-24T23:02:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/169410169410The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach SpacesGuiwen Lv0Haiyun Zhou1Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, ChinaDepartment of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaWe prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak Φ-pseduocontractive mappings in Banach spaces. We also obtain the convergence results of Mann and multistep iterations with errors. Our results extend and improve the corresponding results.http://dx.doi.org/10.1155/2012/169410
collection DOAJ
language English
format Article
sources DOAJ
author Guiwen Lv
Haiyun Zhou
spellingShingle Guiwen Lv
Haiyun Zhou
The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
Abstract and Applied Analysis
author_facet Guiwen Lv
Haiyun Zhou
author_sort Guiwen Lv
title The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
title_short The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
title_full The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
title_fullStr The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
title_full_unstemmed The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ-Pseudocontractive Mappings in Banach Spaces
title_sort equivalence of convergence results between mann and multistep iterations with errors for uniformly continuous generalized weak φ-pseudocontractive mappings in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak Φ-pseduocontractive mappings in Banach spaces. We also obtain the convergence results of Mann and multistep iterations with errors. Our results extend and improve the corresponding results.
url http://dx.doi.org/10.1155/2012/169410
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