A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings
type: Item
instance of: scholarly article
title: A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings
zbMATH Open document ID: 1266.65088
DOI: 10.1155/2013/573583
author: Wei-Qi Deng
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: By using a specific way of choosing the indices, we introduce an up-to-date iterative algorithm for approximating common fixed points of a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings and obtain a strong convergence theorem under some suitable conditions. As application, an iterative solution to a system of generalized mixed equilibrium problems is studied. The results extend those of other authors, in which the involved mappings consist of just finite families.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6161351
zbMATH Keywords: iterative algorithm
zbMATH Keywords: common fixed points
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: convergence
zbMATH Keywords: mixed equilibrium problems
Wikidata QID: Q58917150
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/573583
OpenAlex ID: W2010393329
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description: scientific article; zbMATH DE number 6161351