Strong Convergence Theorems for Countable Families of Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-02
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
The purpose of this paper is to present a new hybrid block iterative scheme by the generalized f- projection method for finding a common element of the fixed point set for a countable family of uniformly quasi-ϕ-asymptotically nonexpansive mappings and the set of solutions of the system of generalized mixed equilibrium problems in a strictly convex and uniformly smooth Banach space with the Kadec-Klee property.
Furthermore, we prove that our new iterative scheme converges strongly to a common element of the aforementioned sets.
The results presented in this paper improve and extend important recent results in the literature.
American Psychological Association (APA)
Saewan, Siwaporn& Kumam, Poom. 2011. Strong Convergence Theorems for Countable Families of Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-491648
Modern Language Association (MLA)
Saewan, Siwaporn& Kumam, Poom. Strong Convergence Theorems for Countable Families of Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems. Abstract and Applied Analysis No. 2011 (2011), pp.1-27.
https://search.emarefa.net/detail/BIM-491648
American Medical Association (AMA)
Saewan, Siwaporn& Kumam, Poom. Strong Convergence Theorems for Countable Families of Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-491648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491648