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Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-07
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-ϕ-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces.
Then we study the strong convergence of the algorithm.
Our results improve and extend the corresponding results announced by many others.
American Psychological Association (APA)
Zhao, Jing. 2012. Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993332
Modern Language Association (MLA)
Zhao, Jing. Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993332
American Medical Association (AMA)
Zhao, Jing. Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993332