Estimates of approximate solutions in the method of parameter continuation
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.47060
author: V. G. Vetekha
publication date: 2001-06-25T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 1609723
zbMATH Keywords: operator equations
zbMATH Keywords: estimates of approximate solutions
zbMATH Keywords: Lipschitz-continuous and coercive operator
zbMATH Keywords: efficient error estimates
MaRDI profile type: Publication
title: Estimates of approximate solutions in the method of parameter continuation
published in: Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika
review text: The author studies the estimates of approximate solutions of nonlinear equations in the Banach space with Lipschitz-continuous and coercive operator. The approximate solutions are obtained by the parameter continuation method. Established are the efficient error estimates in construction of approximate solution. This paper develops some ideas by \textit{S. N. Bernstein} [Math. Ann. 59, 20-76 (1904)] and \textit{V. A. Trenogin} [``Functional analysis'', Nauka, Moscow (1993; Zbl 0804.46001)].
reviewed by: A. A. Martynyuk
description: scientific article; zbMATH DE number 1609723