Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria
Joint Authors
Kong, Zhao-Rong
Pang, Chin-Tzong
Ceng, Lu-Chuan
Wen, Ching-Feng
Liao, Cheng-Wen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-25
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We first introduce and analyze one iterative algorithm by using the composite shrinking projection method for finding a solution of the system of generalized equilibria with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inequalities, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space.
We prove a strong convergence theorem for the iterative algorithm under suitable conditions.
On the other hand, we also propose another iterative algorithm involving no shrinking projection method and derive its weak convergence under mild assumptions.
Our results improve and extend the corresponding results in the earlier and recent literature.
American Psychological Association (APA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng& Kong, Zhao-Rong. 2014. Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1014141
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria. Abstract and Applied Analysis No. 2014 (2014), pp.1-25.
https://search.emarefa.net/detail/BIM-1014141
American Medical Association (AMA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng& Kong, Zhao-Rong. Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1014141
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014141