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Steepest-Descent Approach to Triple Hierarchical Constrained Optimization Problems
Joint Authors
Pang, Chin-Tzong
Ceng, Lu-Chuan
Wen, Ching-Feng
Liao, Cheng-Wen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce and analyze a hybrid steepest-descent algorithm by combining Korpelevich’s extragradient method, the 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 the unique solution of a triple hierarchical constrained optimization problem (THCOP) over the common fixed point set of finitely many nonexpansive mappings, with constraints of finitely many generalized mixed equilibrium problems (GMEPs), finitely many variational inclusions, and a convex minimization problem (CMP) in a real Hilbert space.
American Psychological Association (APA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. 2014. Steepest-Descent Approach to Triple Hierarchical Constrained Optimization Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1013597
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Steepest-Descent Approach to Triple Hierarchical Constrained Optimization Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-1013597
American Medical Association (AMA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. Steepest-Descent Approach to Triple Hierarchical Constrained Optimization Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1013597
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013597