Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions
Joint Authors
Pang, Chin-Tzong
Ceng, Lu-Chuan
Chen, Chi-Ming
Wen, Ching-Feng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We introduce and analyze a relaxed extragradient-like viscosity iterative algorithm for finding a solution of a generalized mixed equilibrium problem with constraints of several problems: a finite family of variational inequalities for inverse strongly monotone mappings, a finite family of variational inclusions for maximal monotone and inverse strongly monotone mappings, and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space.
Under some suitable conditions, we derive the strong convergence of the sequence generated by the proposed algorithm to a common solution of these problems which also solves a variational inequality problem.
American Psychological Association (APA)
Ceng, Lu-Chuan& Chen, Chi-Ming& Wen, Ching-Feng& Pang, Chin-Tzong. 2014. Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1013739
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions. Abstract and Applied Analysis No. 2014 (2014), pp.1-25.
https://search.emarefa.net/detail/BIM-1013739
American Medical Association (AMA)
Ceng, Lu-Chuan& Chen, Chi-Ming& Wen, Ching-Feng& Pang, Chin-Tzong. Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-1013739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013739