Different conjugate dual problems in vector optimization and their relations
type: Item
instance of: scholarly article
title: Different conjugate dual problems in vector optimization and their relations
zbMATH Open document ID: 1169.90019
published in: Journal of Optimization Theory and Applications
publication date: 2009-05-05T00:00:00Z
review text: The authors study a problem of minimizing a vector function \(f(x)\) under a set constraint \(x\in E\) and an inclusion constraint \(g(x)\in -D\) where \(D\) is a closed pointed cone with a nonempty interior. They construct three kinds of dual problems by using conjugate maps associated with perturbation in the objective \(f(x+p)\), in the constraint \(g(x)\in -(D+q)\) and their combination. Weak duality, strong duality and some inclusion relations for optimal values of these dual problems are established.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 5550748
zbMATH Keywords: Dual problem
zbMATH Keywords: conjugate map
zbMATH Keywords: vector optimization
author: C. R. Chen
author: S. J. Li
reviewed by: Dinh The Luc
MaRDI profile type: Publication
full work available at URL: s10957-008-9462-7
OpenAlex ID: W2035124549
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DOI: 10.1007/S10957-008-9462-7
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description: scientific article; zbMATH DE number 5550748