The general hybrid approximation methods for nonexpansive mappings in Banach spaces
type: Item
instance of: scholarly article
title: The general hybrid approximation methods for nonexpansive mappings in Banach spaces
zbMATH Open document ID: 1215.47097
DOI: 10.1155/2011/854360
author: Rabian Wangkeeree
published in: Abstract and Applied Analysis
publication date: 2011-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/231657
review text: Summary: We introduce two general hybrid iterative approximation methods (one implicit and one explicit) for finding a fixed point of a nonexpansive mapping which solves the variational inequality generated by two strongly positive bounded linear operators. Strong convergence theorems of the proposed iterative methods are obtained in a reflexive Banach space which admits a weakly continuous duality mapping. The results presented in this paper improve and extend the corresponding results announced by Marino and Xu (2006), Wangkeeree et al. (in press), and Ceng et al. (2009).
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5888155
zbMATH Keywords: general hybrid approximation methods
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: variational inequality
zbMATH Keywords: strong convergence
Wikidata QID: Q58654488
MaRDI profile type: Publication
OpenAlex ID: W2022815783
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description: scientific article; zbMATH DE number 5888155