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Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings
Joint Authors
Guo, Yan-Ni
Su, Fang
Dong, Qiao-Li
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Based on the relaxed extragradient method and viscosity method, we introduce a new iterative method for finding a common element of solution of equilibrium problems, the solution set of a general system of variational inequalities, and the set of fixed points of a countable family of nonexpansive mappings in a real Hilbert space.
Furthermore, we prove the strong convergence theorem of the studied iterative method.
The results of this paper extend and improve the results of Ceng et al., (2008), W.
Kumam and P.
Kumam, (2009), Yao et al., (2010) and many others.
American Psychological Association (APA)
Dong, Qiao-Li& Guo, Yan-Ni& Su, Fang. 2012. Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1028937
Modern Language Association (MLA)
Dong, Qiao-Li…[et al.]. Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1028937
American Medical Association (AMA)
Dong, Qiao-Li& Guo, Yan-Ni& Su, Fang. Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1028937
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028937