Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints
Joint Authors
Pang, Chin-Tzong
Ceng, Lu-Chuan
Wen, Ching-Feng
Liao, Cheng-Wen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-03
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We introduce and analyze a hybrid iterative algorithm by combining Korpelevich's extragradient method, the hybrid steepest-descent method, and the averaged mapping approach to the gradient-projection algorithm.
It is proven that, under appropriate assumptions, the proposed algorithm converges strongly to a common element of the fixed point set of finitely many nonexpansive mappings, the solution set of a generalized mixed equilibrium problem (GMEP), the solution set of finitely many variational inclusions, and the solution set of a convex minimization problem (CMP), which is also a unique solution of a triple hierarchical variational inequality (THVI) in a real Hilbert space.
In addition, we also consider the application of the proposed algorithm to solving a hierarchical variational inequality problem with constraints of the GMEP, the CMP, and finitely many variational inclusions.
American Psychological Association (APA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. 2014. Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1014751
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints. Abstract and Applied Analysis No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1014751
American Medical Association (AMA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1014751
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014751