On continuity properties of the solution map in linear complementarity problems.
type: Item
instance of: scholarly article
title: On continuity properties of the solution map in linear complementarity problems.
zbMATH Open document ID: 1041.90057
author: Huynh The Phung
published in: Vietnam Journal of Mathematics
publication date: 2002-01-01T00:00:00Z
review text: For the standard linear complementarity problem \[ x \geq 0, Mx +q \geq 0, x^{T}(Mx +q) =0; \] its solution set can be viewed as the value of the mapping \(S_{M}\) at \(q\). The author shows that \(S_{M}\) is Lipschitz continuous on its effective domain if and only if it is lower semicontinuous on this set. Under the additional assumption that \(M\) belongs to the class \(Q\), the same result was established in the previous work of the author.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 1885661
zbMATH Keywords: continuity properties
zbMATH Keywords: linear complementarity problem
zbMATH Keywords: solution set
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1885661