Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps

<p>Abstract</p> <p>A scalarization theorem and two Lagrange multiplier theorems are established for tightly proper efficiency in vector optimization involving nearly cone-subconvexlike set-valued maps. A dual is proposed, and some duality results are obtained in terms of tightly pr...

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Main Authors:	Xu YD, Li SJ
Format:	Article
Language:	English
Published:	SpringerOpen 2011-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2011/839679

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spelling	doaj-ea011ba3ba104c90827b24013ceaa9222020-11-24T20:59:45ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111839679Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued MapsXu YDLi SJ<p>Abstract</p> <p>A scalarization theorem and two Lagrange multiplier theorems are established for tightly proper efficiency in vector optimization involving nearly cone-subconvexlike set-valued maps. A dual is proposed, and some duality results are obtained in terms of tightly properly efficient solutions. A new type of saddle point, which is called tightly proper saddle point of an appropriate set-valued Lagrange map, is introduced and is used to characterize tightly proper efficiency.</p>http://www.journalofinequalitiesandapplications.com/content/2011/839679
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xu YD Li SJ
spellingShingle	Xu YD Li SJ Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps Journal of Inequalities and Applications
author_facet	Xu YD Li SJ
author_sort	Xu YD
title	Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps
title_short	Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps
title_full	Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps
title_fullStr	Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps
title_full_unstemmed	Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps
title_sort	tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2011-01-01
description	<p>Abstract</p> <p>A scalarization theorem and two Lagrange multiplier theorems are established for tightly proper efficiency in vector optimization involving nearly cone-subconvexlike set-valued maps. A dual is proposed, and some duality results are obtained in terms of tightly properly efficient solutions. A new type of saddle point, which is called tightly proper saddle point of an appropriate set-valued Lagrange map, is introduced and is used to characterize tightly proper efficiency.</p>
url	http://www.journalofinequalitiesandapplications.com/content/2011/839679
work_keys_str_mv	AT xuyd tightlyproperefficiencyinvectoroptimizationwithnearlyconesubconvexlikesetvaluedmaps AT lisj tightlyproperefficiencyinvectoroptimizationwithnearlyconesubconvexlikesetvaluedmaps
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Tightly Proper Efficiency in Vector Optimization with Nearly Cone-Subconvexlike Set-Valued Maps

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