Hybrid extragradient method with regularization for convex minimization, generalized mixed equilibrium, variational inequality and fixed point problems
type: Item
instance of: scholarly article
title: Hybrid extragradient method with regularization for convex minimization, generalized mixed equilibrium, variational inequality and fixed point problems
zbMATH Open document ID: 1472.47063
DOI: 10.1155/2014/436069
author: L. C. Ceng
author: Juei-Ling Ho
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce two iterative algorithms by the hybrid extragradient method with regularization for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fréchet differentiable functional, the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inequalities for inverse strong monotone mappings and the set of fixed points of an asymptotically \(\kappa\)-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under mild conditions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 7022387
zbMATH Keywords: hybrid extragradient method
zbMATH Keywords: real Hilbert space
zbMATH Keywords: strong convergence
Wikidata QID: Q59038223
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/436069
OpenAlex ID: W1973363446
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description: scientific article; zbMATH DE number 7022387