A new system of variational inclusions involving \(H(\cdot ,\cdot )\)-accretive operator in Banach spaces
type: Item
instance of: scholarly article
title: A new system of variational inclusions involving \(H(\cdot ,\cdot )\)-accretive operator in Banach spaces
zbMATH Open document ID: 1188.65092
author: Nan-Jing Huang
author: Yunzhi Zou
published in: Applied Mathematics and Computation
publication date: 2009-06-24T00:00:00Z
review text: A new class of variational inclusions is introduced which involve \(H\)-accretive operators \(X\to X\) in a Banach space \(X\), where \(H:X\times X\to X\) is a given mapping (see the same authors, ibid. 204, No.~2, 809--816 (2008; Zbl 1170.65043) for the definition of such operators). An iterative convergent algorithm with step control is proposed for the approximate solution of a system of such inclusions.
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 5569550
zbMATH Keywords: variational inclusions
zbMATH Keywords: accretive operators
zbMATH Keywords: iterative algorithms
zbMATH Keywords: resolvent operator
zbMATH Keywords: convergence
zbMATH Keywords: Banach space
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: j.amc.2009.02.007
OpenAlex ID: W1965131041
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DOI: 10.1016/J.AMC.2009.02.007
description: scientific article; zbMATH DE number 5569550