Nonlinear separation approach to constrained extremum problems
type: Item
instance of: scholarly article
title: Nonlinear separation approach to constrained extremum problems
zbMATH Open document ID: 1267.90140
published in: Journal of Optimization Theory and Applications
publication date: 2013-02-11T00:00:00Z
review text: The authors consider optimality conditions for cone-constrained optimization problems. Using Hiriart-Urruty's scalarization function they construct several types (nonlinear weak, nonlinear regular weak, nonlinear strong) of separation functions. By applying these separation functions as well as image space analysis, they obtain necessary and sufficient optimality conditions and a corresponding saddle-point condition.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6135491
zbMATH Keywords: image space analysis
zbMATH Keywords: nonlinear (regular) weak separation function
zbMATH Keywords: nonlinear strong separation function
zbMATH Keywords: saddle point
author: S. J. Li
author: Yangdong Xu
author: Shengkun Zhu
reviewed by: Jan-Joachim Rückmann
MaRDI profile type: Publication
full work available at URL: s10957-012-0027-4
OpenAlex ID: W2037626937
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DOI: 10.1007/S10957-012-0027-4
description: scientific article; zbMATH DE number 6135491