Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
type: Item
instance of: scholarly article
title: Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
zbMATH Open document ID: 0862.47045
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-05-25T00:00:00Z
review text: Let \(T\) be a Lipschitzian and strongly accretive operator in \(E=L_p\), \(p\geq 2\) and \(Sx=f-Tx+x\). It is proved that under suitable conditions on the real sequences \(\{a_n\}\), \(\{b_n\}\) the iteration process \(x_0\in E\), \(x_{n+1}=(1-a_n)x_n+a_nS((1-b_n)x_n+b_nSx_n)\) converges strongly to the unique solution of \(Tx=f\).
reviewed by: Stepan Agop Tersian
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 811159
zbMATH Keywords: Ishikawa iteration
zbMATH Keywords: Lipschitzian and strongly accretive operator
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1200
OpenAlex ID: W2054975386
DOI: 10.1006/JMAA.1995.1200
description: scientific article; zbMATH DE number 811159