Iterative schemes for convex minimization problems with constraints
type: Item
instance of: scholarly article
title: Iterative schemes for convex minimization problems with constraints
zbMATH Open document ID: 1472.47065
DOI: 10.1155/2014/209372
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 first introduce and analyze one implicit iterative algorithm for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: the generalized mixed equilibrium problem, the system of generalized equilibrium problems, and finitely many variational inclusions in a real Hilbert space. We prove strong convergence theorem for the iterative algorithm under suitable conditions. On the other hand, we also propose another implicit iterative algorithm for finding a fixed point of infinitely many nonexpansive mappings with the same constraints, and derive its strong convergence under mild assumptions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 7021933
zbMATH Keywords: implicit iterative algorithm
zbMATH Keywords: minimisation problem
zbMATH Keywords: strong convergence
Wikidata QID: Q59036064
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/209372
OpenAlex ID: W1984960655
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description: scientific article; zbMATH DE number 7021933