Integral global optimization method for solution of nonlinear complementarity problems
type: Item
instance of: scholarly article
title: Integral global optimization method for solution of nonlinear complementarity problems
zbMATH Open document ID: 0829.90123
DOI: 10.1007/BF01100692
author: Michael M. Kostreva
author: Quan Zheng
published in: Journal of Global Optimization
publication date: 1996-01-17T00:00:00Z
review text: One considers the nonlinear complementary problem: find \(x\in \mathbb{R}^n\) such that \(x\in {\mathcal O}\), \(f(x)\in {\mathcal O}^*\), \(\langle x, f(x)\rangle= 0\), where \(\mathcal O\) is an orthant in \(\mathbb{R}^n\). The main hypothesis on the function \(f\) is that it is robust piecewise continuous (i.e. there is a partition \((V_\lambda)\) of \(\mathbb{R}^n\) composed by robust sets such that \(f|_{V_\lambda}\) is continuous for every \(\lambda\)) and is a nondegenerate \(P\)-mapping. Under some additional assumptions it is shown that the NCP problem is solvable by an integral optimization method.
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 679573
zbMATH Keywords: nonlinear complementary
zbMATH Keywords: nondegenerate \(P\)-mapping
reviewed by: Constantin Zălinescu
MaRDI profile type: Publication
cites work: Exact Penalty Functions in Constrained Optimization
cites work: On a Direct Algorithm for Nonlinear Complementarity Problems
cites work: Q5588268
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cites work: On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
cites work: Robust analysis and global minimization of a class of discontinuous functions. I
cites work: Robust analysis and global minimization of a class of discontinuous functions. II
full work available at URL: https://doi.org/10.1007/bf01100692
OpenAlex ID: W2055334377
description: scientific article; zbMATH DE number 679573