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- Title
Steepest-Descent Approach to Triple Hierarchical Constrained Optimization Problems.
- Authors
Lu-Chuan Ceng; Cheng-Wen Liao; Chin-Tzong Pang; Ching-Feng Wen
- Abstract
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.
- Subjects
MATHEMATICAL optimization; THEORY of descent (Mathematics); CONSTRAINED optimization; CONVEX functions; STATISTICAL equilibrium
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/264965