The upper semicontinuity of the solution maps in vector implicit quasicomplementarity problems of type \(R_{0}^{*1}\)
type: Item
instance of: scholarly article
title: The upper semicontinuity of the solution maps in vector implicit quasicomplementarity problems of type \(R_{0}^{*1}\)
zbMATH Open document ID: 1087.90077
DOI: 10.1016/S0893-9659(03)90109-1
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: The paper studies the solution maps for the implicit quasicomplementarity problems of type \(R_0\). The solution maps are set-valued maps and are proved to have closed graph under certain conditions. The upper semicontinuity of of the solution maps are then proved for a class of quasicomplementarity problems.
reviewed by: Gongyun Zhao
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 2073828
zbMATH Keywords: implicit quasicomplementarity problem
zbMATH Keywords: upper semicontinuity
author: Nan-Jing Huang
author: Ya Ping Fang
MaRDI profile type: Publication
cites work: The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
cites work: Q4003375
cites work: On the Continuity of the Solution Map in Linear Complementarity Problems
cites work: Q3515443
cites work: On the connectedness of solution sets in linear complementarity problems
cites work: Quasicomplementarity problems of type \(R_ 0\)
cites work: Vector complementarity and minimal element problems
full work available at URL: s0893-9659(03)90109-1
OpenAlex ID: W2032702938
description: scientific article; zbMATH DE number 2073828