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A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings
Joint Authors
Xu, Hong Kun
Fang, Xiaoli
Wang, Yaqin
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The purpose of this paper is to consider a new scheme by the hybrid extragradient-like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality, and the set of fixed points of an infinitely family of strictly pseudocontractive mappings in Hilbert spaces.
Then, we obtain a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm.
Our results extend and improve the results of Issara Inchan (2010) and many others.
American Psychological Association (APA)
Wang, Yaqin& Xu, Hong Kun& Fang, Xiaoli. 2012. A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029011
Modern Language Association (MLA)
Wang, Yaqin…[et al.]. A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029011
American Medical Association (AMA)
Wang, Yaqin& Xu, Hong Kun& Fang, Xiaoli. A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029011
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029011