A remark on recent results for finding zeroes of accretive operators
type: Item
instance of: scholarly article
title: A remark on recent results for finding zeroes of accretive operators
zbMATH Open document ID: 1120.47059
DOI: 10.1155/JAMSA/2006/56704
author: Abdellatif Moudafi
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2007-03-19T00:00:00Z
full work available at URL: https://eudml.org/doc/53427
review text: The purpose of this paper is to give, by means of the Yosida approximations, some convergence results for the zero-point of a strongly accretive set-valued operator. Some connections to a relaxed version of the proximal point algorithm are also given. The results extend some previous theorems given by \textit{C.\,E.\thinspace Chidume} [in: Nonlinear analysis and applications.\ To V.\,Lakshmikantham on his 80th birthday, Vol.\,1, 383--429 (2003; Zbl 1057.47003)] and \textit{C.\,E.\thinspace Chidume} and \textit{H.\,Zegeye} [Proc.\ Am.\ Math.\ Soc.\ 131, No.\,8, 2467--2478 (2003; Zbl 1022.47048)].
reviewed by: Adrian Petruşel
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 5134573
zbMATH Keywords: accretive operator
zbMATH Keywords: set-valued operator
zbMATH Keywords: proximal point algorithm
zbMATH Keywords: Yosida approximation
MaRDI profile type: Publication
cites work: Q4466573
cites work: Approximation methods for nonlinear operator equations
cites work: Iterative solutions for zeros of accretive operators
cites work: A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization
cites work: Inequalities in Banach spaces with applications
description: scientific article; zbMATH DE number 5134573