New mixed equilibrium problems and iterative algorithms for fixed point problems in Banach spaces
type: Item
instance of: scholarly article
title: New mixed equilibrium problems and iterative algorithms for fixed point problems in Banach spaces
zbMATH Open document ID: 1405.47027
DOI: 10.1155/2014/193749
author: Minjiang Chen
author: Jianmin Song
author: Shenghua Wang
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We first introduce a new mixed equilibrium problem with a relaxed monotone mapping in Banach spaces and prove the existence of solutions of the equilibrium problem. Then we introduce a new iterative algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of fixed points of a quasi-\(\phi\)-nonexpansive mapping and prove some strong convergence theorems of the iteration. Our results extend and improve the corresponding ones given by Wang et al., Takahashi and Zembayashi, and some others.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7010566
Wikidata QID: Q59050192
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/193749
OpenAlex ID: W2081134363
DBLP publication ID: journals/jam/ChenSW14
description: scientific article; zbMATH DE number 7010566