General iterative methods for system of equilibrium problems and constrained convex minimization problem in Hilbert spaces
type: Item
instance of: scholarly article
title: General iterative methods for system of equilibrium problems and constrained convex minimization problem in Hilbert spaces
zbMATH Open document ID: 1397.47015
DOI: 10.1155/2013/957363
author: Peichao Duan
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of solutions of system of equilibrium problems and a constrained convex minimization problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by \textit{M. Tian} and \textit{L. Liu} [Optimization 63, No. 9, 1367--1385 (2014; Zbl 1293.47067)] and many others. Furthermore, we give numerical example to demonstrate the effectiveness of our iterative scheme.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6950957
Wikidata QID: Q59007147
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/957363
OpenAlex ID: W2076914595
DBLP publication ID: journals/jam/Duan13a
Recommended article: General iterative methods for equilibrium and constrained convex minimization problem
Recommended article: Q5388131
Recommended article: A new iterative method for generalized equilibrium and constrained convex minimization problems
Recommended article: A general iterative method for generalized equilibrium problems and fixed point problems in Hilbert spaces
Recommended article: A GENERAL ITERATIVE ALGORITHM FOR EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS IN A HILBERT SPACE
Recommended article: A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
Recommended article: A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
Recommended article: Q5074490
description: scientific article; zbMATH DE number 6950957