Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization
type: Item
instance of: scholarly article
title: Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization
zbMATH Open document ID: 1160.90002
author: S. F. Yao
author: S. J. Li
author: C. R. Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-05-15T00:00:00Z
review text: Given a (primal) constrained vector minimization problem where weak efficiency is considered, two conjugate dual problems are introduced: the so-called Lagrange and the Fenchel-Lagrange dual problems. Some inclusion relations between the dual objective mappings and the properties of the Lagrangian maps and their saddle points for primal problems are established. In addition, two set-valued gap functions for a vector equilibrium problem by virtue of conjugate dual problems are considered.
reviewed by: Fabián Flores-Bazan
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 5275668
zbMATH Keywords: conjugate duality
zbMATH Keywords: saddle point
zbMATH Keywords: gap function
zbMATH Keywords: inclusion relations
zbMATH Keywords: vector optimization
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.02.009
OpenAlex ID: W1980518765
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DOI: 10.1016/J.JMAA.2008.02.009
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description: scientific article; zbMATH DE number 5275668