Solution behavior for parametric implicit complementarity problems
type: Item
instance of: scholarly article
title: Solution behavior for parametric implicit complementarity problems
zbMATH Open document ID: 0762.90075
DOI: 10.1007/BF01580894
author: Jerzy Kyparisis
author: Chi Ip
published in: Mathematical Programming. Series A. Series B
publication date: 1993-04-01T00:00:00Z
review text: The following parametric implicit complementarity problem is considered in finite-dimensional Euclidean spaces: Find \(x\) such that \(x-G(x)\geq 0\), \(F(x,\varepsilon)\geq 0\), \(F(x,\varepsilon)^ T\) \((x-G(x))=0\). Conditions are described under which the solution \(x(.)\) --- depending on the parameter \(\varepsilon\) --- is locally unique, Lipschitz-continuous, \(B\)- differentiable and Fréchet-differentiable, respectively.
reviewed by: R.Nehse
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 49J50
zbMATH DE Number: 149496
zbMATH Keywords: parametric implicit complementarity problem
zbMATH Keywords: Lipschitz-continuous
zbMATH Keywords: \(B\)- differentiable
zbMATH Keywords: Fréchet-differentiable
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 149496