Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces
type: Item
instance of: scholarly article
title: Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces
zbMATH Open document ID: 1501.47100
author: C. D. Sreedeep
author: Santhosh George
author: Ioannis Konstantinos Argyros
publication date: 2020-07-03T00:00:00Z
review text: This paper studies the Lavrentiev method for solving nonlinear ill-posed problems involving \(m\)-accretive mappings in Banach spaces, implemented with the Newton-Kantorovich method. An error estimate is given under the classical Hölder-type source condition, and also the adaptive parameter choice strategy due to \textit{S. Pereverzev} and \textit{E. Schock} [SIAM J. Numer. Anal. 43, No. 5, 2060--2076 (2005; Zbl 1103.65058)] is discussed.
reviewed by: Bangti Jin
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 49J30
zbMATH DE Number: 7217854
zbMATH Keywords: Newton-Kantorovich regularization method
zbMATH Keywords: nonlinear ill-posed problem
zbMATH Keywords: Banach space
zbMATH Keywords: Lavrentiev regularization
zbMATH Keywords: \(m\)-accretive mappings
zbMATH Keywords: adaptive parameter choice strategy
MaRDI profile type: Publication
full work available at URL: s12215-019-00413-4
OpenAlex ID: W2931773519
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DOI: 10.1007/S12215-019-00413-4
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 7217854