A New Hybrid Algorithm for a Pair of Quasi-ϕ-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair of quasi-ϕ-asymptotically nonexpansive mappings.
Under suitable conditions some strong convergence theorems are established in a 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. 2011. A New Hybrid Algorithm for a Pair of Quasi-ϕ-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-511278
Modern Language Association (MLA)
Zhu, Jinhua& Chang, Shih-sen. A New Hybrid Algorithm for a Pair of Quasi-ϕ-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-511278
American Medical Association (AMA)
Zhu, Jinhua& Chang, Shih-sen. A New Hybrid Algorithm for a Pair of Quasi-ϕ-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-511278
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511278