Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption
type: Item
instance of: scholarly article
title: Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption
zbMATH Open document ID: 0896.47048
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-10-06T00:00:00Z
review text: Let \(E\) be a real Banach space with a uniformly convex dual space \(E^*\). Suppose \(T: E\to E\) is a continuous (not necessarily Lipschitzian) strongly accretive map such that \((I- T)\) has bounded range, where \(I\) denotes the identity operator. It is proved that the Ishikawa iterative sequence converges strongly to the unique solution of the equation \(Tx= f\), \(f\in E\).
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 1117609
zbMATH Keywords: strongly accretive map
zbMATH Keywords: Ishikawa iterative sequence
author: Haiyun Zhou
reviewed by: Jürgen Appell
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5539
OpenAlex ID: W1983090963
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DOI: 10.1006/JMAA.1997.5539
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description: scientific article; zbMATH DE number 1117609