Iterative methods for equilibrium problems and monotone inclusion problems in Hilbert spaces
type: Item
instance of: scholarly article
title: Iterative methods for equilibrium problems and monotone inclusion problems in Hilbert spaces
zbMATH Open document ID: 1397.47023
DOI: 10.1155/2013/280909
author: Cao-zong Cheng
author: Huan-chun Wu
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of zeros of the sum of maximal monotone operators, and we obtain strong convergence theorems in Hilbert spaces. We also apply our results to the variational inequality and convex minimization problems. Our results extend and improve the recent result of \textit{W. Takahashi} et al. [Taiwanese J. Math. 16, No. 3, 1151--1172 (2012; Zbl 06062770)].
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 6950595
zbMATH Keywords: zeros of the sum of maximal monotone operators
zbMATH Keywords: strong convergence
zbMATH Keywords: Hilbert spaces
Wikidata QID: Q59002558
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/280909
OpenAlex ID: W2027435477
DBLP publication ID: journals/jam/WuC13a
description: scientific article; zbMATH DE number 6950595