A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces
type: Item
instance of: scholarly article
title: A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces
zbMATH Open document ID: 1254.47037
DOI: 10.1155/2012/498487
author: Mei Yuan
author: Xi Li
author: Xuesong Li
author: John J. Liu
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: Relatively nonexpansive mappings and equilibrium problems are considered based on a shrinking projection method. Using properties of the generalized \(f\)-projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some suitable conditions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6116412
zbMATH Keywords: relatively nonexpansive mappings
zbMATH Keywords: equilibrium problems
zbMATH Keywords: shrinking projection method
zbMATH Keywords: generalized \(f\)-projection operator
zbMATH Keywords: strong convergence theorem
Wikidata QID: Q58695360
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/498487
OpenAlex ID: W1573582489
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description: scientific article; zbMATH DE number 6116412