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The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-29
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce two general hybrid iterative approximation methods (one implicit and one explicit) for finding a fixed point of a nonexpansive mapping which solving the variational inequality generated by two strongly positive bounded linear operators.
Strong convergence theorems of the proposed iterative methods are obtained in a reflexive Banach space which admits a weakly continuous duality mapping.
The results presented in this paper improve and extend the corresponding results announced by Marino and Xu (2006), Wangkeeree et al.
(in press), and Ceng et al.
(2009).
American Psychological Association (APA)
Wangkeeree, Rabian. 2011. The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-503607
Modern Language Association (MLA)
Wangkeeree, Rabian. The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-503607
American Medical Association (AMA)
Wangkeeree, Rabian. The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-503607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503607