Hybrid algorithms for solving variational inequalities, variational inclusions, mixed equilibria, and fixed point problems
type: Item
instance of: scholarly article
title: Hybrid algorithms for solving variational inequalities, variational inclusions, mixed equilibria, and fixed point problems
zbMATH Open document ID: 1472.47066
DOI: 10.1155/2014/208717
author: L. C. Ceng
author: M. M. Wong
author: Jen-Chih Yao
author: Adrian Petruşel
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We present a hybrid iterative algorithm for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of variational inequalities for inverse strong monotone mappings, the set of fixed points of an infinite family of nonexpansive mappings, and the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed hybrid iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters. Here, our hybrid algorithm is based on Korpelevič's extragradient method, hybrid steepest-descent method, and viscosity approximation method.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7021931
zbMATH Keywords: hybrid iterative algorithm
zbMATH Keywords: strong convergence
Wikidata QID: Q59036054
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/208717
OpenAlex ID: W2044330962
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description: scientific article; zbMATH DE number 7021931