Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces

Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces

A new concept of the asymptotically weak G-pseudo-Ψ-contractive non-self-mapping T:G↦B is introduced and some strong convergence theorems for the mapping are proved by using the generalized projection method combined with the modified successive approximation method or with the modified Mann iterati...

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Main Author: Yuanheng Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/651304
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spelling doaj-3762f5a2e7794349856861570776e4142020-11-24T23:14:49ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/651304651304Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach SpacesYuanheng Wang0Department of Mathematics, Zhejiang Normal University, Zhejiang 321004, ChinaA new concept of the asymptotically weak G-pseudo-Ψ-contractive non-self-mapping T:G↦B is introduced and some strong convergence theorems for the mapping are proved by using the generalized projection method combined with the modified successive approximation method or with the modified Mann iterative sequence method in a uniformly and smooth Banach space. The proof methods are also different from some past common methods.http://dx.doi.org/10.1155/2012/651304
collection DOAJ
language English
format Article
sources DOAJ
author Yuanheng Wang
spellingShingle Yuanheng Wang
Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
Abstract and Applied Analysis
author_facet Yuanheng Wang
author_sort Yuanheng Wang
title Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
title_short Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
title_full Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
title_fullStr Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
title_full_unstemmed Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces
title_sort strong convergence theorems for asymptotically weak g-pseudo-ψ-contractive non-self-mappings with the generalized projection in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description A new concept of the asymptotically weak G-pseudo-Ψ-contractive non-self-mapping T:G↦B is introduced and some strong convergence theorems for the mapping are proved by using the generalized projection method combined with the modified successive approximation method or with the modified Mann iterative sequence method in a uniformly and smooth Banach space. The proof methods are also different from some past common methods.
url http://dx.doi.org/10.1155/2012/651304
work_keys_str_mv AT yuanhengwang strongconvergencetheoremsforasymptoticallyweakgpseudopscontractivenonselfmappingswiththegeneralizedprojectioninbanachspaces
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