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Convergence Theorem Based on a New Hybrid Projection Method for Finding a Common Solution of Generalized Equilibrium and Variational Inequality Problems in Banach Spaces
Joint Authors
Saewan, Siwaporn
Kumam, Poom
Wattanawitoon, Kriengsak
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-28
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
The purpose of this paper is to introduce a new hybrid projection method for finding a common element of the set of common fixed points of two relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone, and the set of solutions of the generalized equilibrium problem in the framework of a real Banach space.
We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space.
Base on this result, we also get some new and interesting results.
The results in this paper generalize, extend, and unify some well-known strong convergence results in the literature.
American Psychological Association (APA)
Saewan, Siwaporn& Kumam, Poom& Wattanawitoon, Kriengsak. 2010. Convergence Theorem Based on a New Hybrid Projection Method for Finding a Common Solution of Generalized Equilibrium and Variational Inequality Problems in Banach Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-25.
https://search.emarefa.net/detail/BIM-494379
Modern Language Association (MLA)
Saewan, Siwaporn…[et al.]. Convergence Theorem Based on a New Hybrid Projection Method for Finding a Common Solution of Generalized Equilibrium and Variational Inequality Problems in Banach Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-25.
https://search.emarefa.net/detail/BIM-494379
American Medical Association (AMA)
Saewan, Siwaporn& Kumam, Poom& Wattanawitoon, Kriengsak. Convergence Theorem Based on a New Hybrid Projection Method for Finding a Common Solution of Generalized Equilibrium and Variational Inequality Problems in Banach Spaces. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-25.
https://search.emarefa.net/detail/BIM-494379
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494379