On the solution of equations with nondifferentiable and Ptak error estimates
type: Item
instance of: scholarly article
title: On the solution of equations with nondifferentiable and Ptak error estimates
zbMATH Open document ID: 0726.65063
DOI: 10.1007/BF01933222
author: Ioannis Konstantinos Argyros
published in: BIT
publication date: 1990-01-01T00:00:00Z
review text: The author uses Newton's method to approximate the solutions of nonlinear operator equations which involve not necessarily differentiable operators. He obtains error estimates which generalize those of \textit{P. P. Zabrejko} and \textit{D. F. Nguen} [Numer. Funct. Anal. Optimization 9, 671-684 (1987; Zbl 0627.65069)].
reviewed by: Simeon Reich
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 4199495
zbMATH Keywords: Newton's method
zbMATH Keywords: nonlinear operator equations
zbMATH Keywords: error estimates
MaRDI profile type: Publication
cites work: The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
full work available at URL: https://doi.org/10.1007/bf01933222
OpenAlex ID: W1978955258
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description: scientific article; zbMATH DE number 4199495