Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems
type: Item
instance of: scholarly article
title: Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems
zbMATH Open document ID: 1251.47061
DOI: 10.1155/2012/235474
author: Rabian Wangkeeree
author: Nimit Nimana
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We introduce viscosity approximations by using the shrinking projection method established by \textit{W. Takahashi}, \textit{Y. Takeuchi} and \textit{R. Kubota} [J. Math. Anal. Appl. 341, No. 1, 276--286 (2008; Zbl 1134.47052)] for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. Furthermore, we also consider the viscosity shrinking projection method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of super hybrid mappings in Hilbert spaces.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6106142
zbMATH Keywords: viscosity approximations
zbMATH Keywords: shrinking projection method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/235474
OpenAlex ID: W1980574866
Wikidata QID: Q58906407
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DBLP publication ID: journals/jam/WangkeereeN12
description: scientific article; zbMATH DE number 6106142