Newton methods on Banach spaces with a convergence structure and applications
type: Item
instance of: scholarly article
title: Newton methods on Banach spaces with a convergence structure and applications
zbMATH Open document ID: 0957.65047
DOI: 10.1016/S0898-1221(00)00138-3
publication date: 2001-03-12T00:00:00Z
review text: A convergence theorem for the inexact Newton-like method applied to solve a nonlinear operator equation containing both a differentiable and a nondifferentiable term, is given. The ambient space is a Banach space with a convergence structure. Error bounds are obtained and, finally, two applications are shown. There are a few misprints in the paper (for example, Equations (6) and (7) are identical) that affect the reading.
reviewed by: Vasile Berinde
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 1471514
zbMATH Keywords: Banach space with convergence structure
zbMATH Keywords: nondifferentiable operator
zbMATH Keywords: inexact Newton-like method
zbMATH Keywords: error bounds
zbMATH Keywords: nonlinear operator equation
author: Ioannis Konstantinos Argyros
MaRDI profile type: Publication
cites work: Q5332414
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cites work: Q4888801
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1471514