Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption
type: Item
instance of: scholarly article
title: Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption
zbMATH Open document ID: 0921.47053
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-09-17T00:00:00Z
review text: In [J. Math. Anal. Appl. 204, No. 3, 677-692 (1996; Zbl 0882.47030)] \textit{M. O. Osilike} established several stability results for certain Mann and Ishikawa iteration procedures for fixed points of Lipschitz strong pseudocontractions and solutions of nonlinear accretive operator equations in real \(q\)-uniformly smooth Banach spaces. In the reviewing article the author studies the stability of these iteration processes for strong pseudocontractions without Lipschitz assumption in real uniformly smooth Banach spaces. As the consequence it is proved that these processes for approximating the solutions of the equations involving accretive operators without Lipschitz assumption are stable.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 1271509
zbMATH Keywords: strong pseudocontraction
zbMATH Keywords: accretive operators
zbMATH Keywords: iteration processes
zbMATH Keywords: stability results
zbMATH Keywords: Mann and Ishikawa iteration
zbMATH Keywords: fixed points
zbMATH Keywords: real \(q\)-uniformly smooth Banach spaces
author: Haiyun Zhou
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6108
OpenAlex ID: W2029465799
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DOI: 10.1006/JMAA.1998.6108
description: scientific article; zbMATH DE number 1271509