Iterative solution of nonlinear equations involving \(m\)-accretive operators in Banach spaces
type: Item
instance of: scholarly article
title: Iterative solution of nonlinear equations involving \(m\)-accretive operators in Banach spaces
zbMATH Open document ID: 0922.47061
author: Liang Zhu
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-11T00:00:00Z
review text: We study the iterative process of solution of the nonlinear operator equation \[ x+ Ax=f,\quad x\in D(A),\;f\in X, \] where \(A: D(A)\subset X\to X\) is an \(m\)-accretive operator, \(X\) is a uniformly smooth Banach space. For \(X= H\), a Hilbert space, the problem above has been studied by Chidume and Dotson. Chidume considered iterative techniques in \(L_p\) spaces (\(2\leq p<\infty\) or \(1<p<2\)). Our theorems complement and generalize the results of Chidume.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 710329
zbMATH Keywords: iterative process
zbMATH Keywords: nonlinear operator equation
zbMATH Keywords: \(m\)-accretive operator
zbMATH Keywords: uniformly smooth Banach space
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1434
OpenAlex ID: W2094988606
DOI: 10.1006/JMAA.1994.1434
description: scientific article; zbMATH DE number 710329