Q1760719
type: Item
instance of: scholarly article
title: Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
zbMATH Open document ID: 1325.47139
DOI: 10.1155/2012/516897
author: Jing Zhao
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-\(\phi\)-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a \(\gamma\)-inverse strongly monotone mapping in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6106234
zbMATH Keywords: common fixed points
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/516897
OpenAlex ID: W2137400163
Wikidata QID: Q58906047
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label: Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
description: scientific article; zbMATH DE number 6106234