The equivalence of convergence results between Mann and multistep iterations with errors for uniformly continuous generalized weak \(\Phi\)-pseudocontractive mappings in Banach spaces
type: Item
instance of: scholarly article
title: The equivalence of convergence results between Mann and multistep iterations with errors for uniformly continuous generalized weak \(\Phi\)-pseudocontractive mappings in Banach spaces
zbMATH Open document ID: 1393.47033
DOI: 10.1155/2012/169410
author: Guiwen Lv
author: Haiyun Zhou
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak \(\Phi\)-pseudocontractive mappings in Banach spaces. We also obtain the convergence results of Mann and multistep iterations with errors. Our results extend and improve the corresponding results.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6134027
zbMATH Keywords: equivalence of convergence
zbMATH Keywords: Mann iterations with errors
zbMATH Keywords: \(\Phi\)-pseudocontractive mappings
zbMATH Keywords: Banach spaces
MaRDI profile type: Publication
Wikidata QID: Q58694991
full work available at URL: https://doi.org/10.1155/2012/169410
OpenAlex ID: W1996907717
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description: scientific article; zbMATH DE number 6134027