A Newton method for a class of quasi-variational inequalities
type: Item
instance of: scholarly article
title: A Newton method for a class of quasi-variational inequalities
zbMATH Open document ID: 0827.49007
DOI: 10.1007/BF01299156
author: J. Zowe
author: Jiří Outrata
published in: Computational Optimization and Applications
publication date: 1995-06-25T00:00:00Z
review text: This paper presents a variant of Newton's method to solve quasi- variational inequalities with monotonic operators. The problem considered can be described by the scheme: find \(y\) such that \[ \langle F(y), z- y\rangle\geq 0\qquad \text{for all} \quad z\in \Gamma(y), \] where (i) \(F\) is a continuously differentiable operator from \(A\subseteq \mathbb{R}^n\) to \(\mathbb{R}^n\). (ii) \(\Gamma(y)= \{z\in \mathbb{R}^n\): \(g_i(y, z)\leq 0,\;i= 1,2,\dots, s\}\) with \(g_i\) twice differentiable functions in the second variable. Some examples are considered.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 754927
zbMATH Keywords: Newton's method
zbMATH Keywords: quasi-variational inequalities
reviewed by: Brian L. Burrows
describes a project that uses: NLPQL
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01299156
OpenAlex ID: W2057074226
description: scientific article; zbMATH DE number 754927