Conjugate Duality in Constrained Set-Valued Vector Optimization Problems

In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion...

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Main Authors:	Li, S., Sun, X., Liu, H., Yao, S., Teo, Kok Lay
Format:	Journal Article
Published:	Taylor & Francis Group 2011
Online Access:	http://hdl.handle.net/20.500.11937/46824

id	curtin-20.500.11937-46824
recordtype	eprints
spelling	curtin-20.500.11937-468242017-09-13T16:08:10Z Conjugate Duality in Constrained Set-Valued Vector Optimization Problems Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed. 2011 Journal Article http://hdl.handle.net/20.500.11937/46824 10.1080/01630563.2010.528567 Taylor & Francis Group restricted
repository_type	Digital Repository
institution_category	Local University
institution	Curtin University Malaysia
building	Curtin Institutional Repository
collection	Online Access
description	In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed.
format	Journal Article
author	Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay
spellingShingle	Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
author_facet	Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay
author_sort	Li, S.
title	Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
title_short	Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
title_full	Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
title_fullStr	Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
title_full_unstemmed	Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
title_sort	conjugate duality in constrained set-valued vector optimization problems
publisher	Taylor & Francis Group
publishDate	2011
url	http://hdl.handle.net/20.500.11937/46824
first_indexed	2018-09-06T23:58:17Z
last_indexed	2018-09-06T23:58:17Z
_version_	1610904552313192448

Conjugate Duality in Constrained Set-Valued Vector Optimization Problems

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