The general iterative methods for asymptotically nonexpansive semigroups in Banach spaces
type: Item
instance of: scholarly article
title: The general iterative methods for asymptotically nonexpansive semigroups in Banach spaces
zbMATH Open document ID: 1296.47102
DOI: 10.1155/2012/695183
author: Rabian Wangkeeree
author: Pakkapon Preechasilp
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We introduce general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups which is the unique solution of some variational inequalities. We prove strong convergence theorems of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. The main result extends various results existing in the literature.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6134146
zbMATH Keywords: iterative method
zbMATH Keywords: common fixed point
zbMATH Keywords: asymptotically nonexpansive semigroup
zbMATH Keywords: variational inequalities
zbMATH Keywords: strong convergence
zbMATH Keywords: reflexive Banach space
zbMATH Keywords: weakly continuous duality mapping
Wikidata QID: Q58695900
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/695183
OpenAlex ID: W2132867853
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description: scientific article; zbMATH DE number 6134146