Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension
type: Item
instance of: scholarly article
title: Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension
zbMATH Open document ID: 1154.90012
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-10-22T00:00:00Z
review text: The paper starts with a short history of the method of Lagrange multipliers in constrained optimization problem. Contributions of Kuhn-Tucker, John, Mangasarian-Fromowitz conducted Gavin to prove that some constraint qualifications are in fact equivalent, in some conditions, to the boundedness of the set of Lagrange multipliers. The authors extend this result to the cone constrained vector optimization problem in infinite dimension. They study the smooth and nonsmooth case. The authors take a unified view by studying set-valued optimization problem in terms of the coderivative of Mordukhovitch.
reviewed by: Daniela Marinescu
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 5355959
zbMATH Keywords: Multi-objective programming
zbMATH Keywords: Lagrange multipliers
author: Marius Durea
author: Joydeep Dutta
author: Chr. Tammer
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.07.039
OpenAlex ID: W2064728536
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DOI: 10.1016/J.JMAA.2008.07.039
description: scientific article; zbMATH DE number 5355959