![](/images/graphics-bg.png)
Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces
Joint Authors
Zhu, Jinhua
Liu, Min
Chang, Shih-sen
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The purpose of this paper is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases and then to use a hybrid algorithm to introduce a new iterative scheme for finding a common element of the set of solutions for a system of generalized mixed equilibrium problems and the set of common fixed points for a countable family of total quasi-ϕ-asymptotically nonexpansive mappings.
Under suitable conditions some strong convergence theorems are established in an uniformly smooth and strictly convex Banach space with Kadec-Klee property.
The results presented in the paper improve and extend some recent results.
American Psychological Association (APA)
Zhu, Jinhua& Chang, Shih-sen& Liu, Min. 2011. Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993887
Modern Language Association (MLA)
Zhu, Jinhua…[et al.]. Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-993887
American Medical Association (AMA)
Zhu, Jinhua& Chang, Shih-sen& Liu, Min. Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993887
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993887