Steepest-descent approach to triple hierarchical constrained optimization problems
type: Item
instance of: scholarly article
title: Steepest-descent approach to triple hierarchical constrained optimization problems
zbMATH Open document ID: 1470.90156
DOI: 10.1155/2014/264965
author: L. C. Ceng
author: Cheng-Wen Liao
author: Chin-Tzong Pang
author: Ching-Feng Wen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 7022048
Wikidata QID: Q59037334
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/264965
OpenAlex ID: W2119406388
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description: scientific article; zbMATH DE number 7022048