Nonsmooth generalized complementarity as unconstrained optimization
type: Item
instance of: scholarly article
title: Nonsmooth generalized complementarity as unconstrained optimization
zbMATH Open document ID: 1204.65071
published in: Journal of Industrial and Management Optimization
publication date: 2010-06-07T00:00:00Z
review text: The author considers the generalized complementarity problem with the underlying functionsbeing \(H\)-differentiable. He derives some conditions on the \(H\)-differentials of the given functions under which minimizing a merit function corresponding to such functions leads to a solution of the generalized complementarity problem. He derives conditions on the underlying functions of the generalized complementarity problem to get a solution by introducing the concepts of relative monotonicity and \(P_0\)-property and their variants.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 5717714
zbMATH Keywords: merit function
zbMATH Keywords: generalized complementarity problem
zbMATH Keywords: generalized Jacobian
zbMATH Keywords: locally Lipschitzian
zbMATH Keywords: semismooth-function
zbMATH Keywords: \(H\)-differentiability
author: M. A. Tawhid
MaRDI profile type: Publication
full work available at URL: jimo.2010.6.411
OpenAlex ID: W1966702992
DOI: 10.3934/JIMO.2010.6.411
description: scientific article; zbMATH DE number 5717714