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Existence and Strong Convergence Theorems for Generalized Mixed Equilibrium Problems of a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces
Joint Authors
Preechasilp, Pakkapon
Dehghan, Hossein
Wangkeeree, Rabian
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-04
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We first prove the existence of solutions for a generalized mixed equilibrium problem under the new conditions imposed on the given bifunction and introduce the algorithm for solving a common element in the solution set of a generalized mixed equilibrium problem and the common fixed point set of finite family of asymptotically nonexpansive mappings.
Next, the strong convergence theorems are obtained, under some appropriate conditions, in uniformly convex and smooth Banach spaces.
The main results extend various results existing in the current literature.
American Psychological Association (APA)
Wangkeeree, Rabian& Dehghan, Hossein& Preechasilp, Pakkapon. 2012. Existence and Strong Convergence Theorems for Generalized Mixed Equilibrium Problems of a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029028
Modern Language Association (MLA)
Wangkeeree, Rabian…[et al.]. Existence and Strong Convergence Theorems for Generalized Mixed Equilibrium Problems of a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029028
American Medical Association (AMA)
Wangkeeree, Rabian& Dehghan, Hossein& Preechasilp, Pakkapon. Existence and Strong Convergence Theorems for Generalized Mixed Equilibrium Problems of a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029028