Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces

The purpose of this paper is to construct an Ishikawa type of hybrid algorithm for pseudo-contractive mappings in Hilbert spaces. Our results extend the recent ones announced by Yao et al. [Y.H. Yao, Y.C. Liou, G. Marino, A hybrid algorithm for pseudo-contractive mappings, Nonlinear Anal. 71 (2009)...

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Bibliographic Details
Published inNonlinear analysis Vol. 74; no. 2; pp. 380 - 385
Main Authors Tang, Yu-Chao, Peng, Ji-Gen, Liu, Li-Wei
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 15.01.2011
Elsevier
Subjects
Algorithms
Construction
Convergence
Exact sciences and technology
Fixed point
Functional analysis
Global analysis, analysis on manifolds
Hilbert space
Hybrid algorithm
Mapping
Mathematical analysis
Mathematics
Nonlinearity
Pseudo-contractive mapping
Sciences and techniques of general use
Theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Pseudo-contractive mapping
Hybrid algorithm
Fixed point
Strong convergence
Fix point
Nonlinear analysis
Hilbert space
Mathematical model
Algorithm
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Summary:The purpose of this paper is to construct an Ishikawa type of hybrid algorithm for pseudo-contractive mappings in Hilbert spaces. Our results extend the recent ones announced by Yao et al. [Y.H. Yao, Y.C. Liou, G. Marino, A hybrid algorithm for pseudo-contractive mappings, Nonlinear Anal. 71 (2009) 4997–5002] and many others.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.08.048