Mixed quasi variational inequalities.
type: Item
instance of: scholarly article
title: Mixed quasi variational inequalities.
zbMATH Open document ID: 1035.65063
DOI: 10.1016/S0096-3003(02)00605-7
author: Muhammad Aslam Noor
published in: Applied Mathematics and Computation
publication date: 2003-11-25T00:00:00Z
review text: The author studies the ``mixed quasi variational inequality problem'', that is, the problem of finding \(u\in H\) such that for all \(v\in H\), \[ \langle T(u),v-u\rangle+\varphi(v,u)-\varphi(u,u)\geq0, \] where \(H\) is a Hilbert space, \(T:H\rightarrow H\) is a non-linear operator and \(\varphi:H\times H\rightarrow\mathbb{R}\cup\{+\infty\}\) is a continuous bifunction. This is a part of a long series of papers of the author, studying iterative algorithms via the ``auxiliary principle technique'' under a standard generalized monotonicity assumption on the operator \(T\). In the last part, the paper discusses links with projected dynamical systems.
reviewed by: A. Daniilidis
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 2009056
zbMATH Keywords: mixed variational inequalities
zbMATH Keywords: iterative methods
zbMATH Keywords: Hilbert space
zbMATH Keywords: algorithms
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00605-7
OpenAlex ID: W2066403182
description: scientific article; zbMATH DE number 2009056