Hybrid extragradient-like viscosity methods for generalized mixed equilibrium problems, variational inclusions, and optimization problems
type: Item
instance of: scholarly article
title: Hybrid extragradient-like viscosity methods for generalized mixed equilibrium problems, variational inclusions, and optimization problems
zbMATH Open document ID: 1473.47028
DOI: 10.1155/2014/120172
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce and analyze a new hybrid extragradient-like viscosity iterative algorithm for finding a common solution of a generalized mixed equilibrium problem, a finite family of variational inclusions for maximal monotone and inverse strongly monotone mappings, and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under some mild conditions, we prove the strong convergence of the sequence generated by the proposed algorithm to a common solution of these three problems which also solves an optimization problem.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7021752
zbMATH Keywords: hybrid extragradient-like viscosity iterative algorithm
zbMATH Keywords: real Hilbert space
zbMATH Keywords: strong convergence
Wikidata QID: Q59035267
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/120172
OpenAlex ID: W2014624611
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description: scientific article; zbMATH DE number 7021752