Strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space
type: Item
instance of: scholarly article
title: Strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space
zbMATH Open document ID: 1255.47066
DOI: 10.1155/2012/917857
author: Hongjie Liu
author: Junqing Wang
author: Qiansheng Feng
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We prove strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping \(T\) and the zero sets of a maximal monotone mapping and an \(\alpha\)-inverse strongly monotone mapping in a Hilbert space. \textit{H. Manaka} and \textit{W. Takahashi} [Cubo 13, No.~1, 11--24 (2011; Zbl 1247.47070)] proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; we introduce new iterative algorithms and get some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6134191
zbMATH Keywords: nonspreading mappings
zbMATH Keywords: strong convergence
zbMATH Keywords: maximal monotone mapping
Wikidata QID: Q58697089
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/917857
OpenAlex ID: W1993076047
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description: scientific article; zbMATH DE number 6134191