| ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR |
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| 作者姓名： | GONG Xun hua |
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| 作者单位： | Department of Mathematics，Nanchang University，Nanchang 330047，China |
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| 摘 要： | 1.IntroductionLetXbeavectorspace,Ybeatopologicalvectorspace,Zbealocallyconvexspace,andletthetopologicaldualspacesofYandZbedenotedbyY*andZ*,respectively.LetCbeapointedconvexconeinYandKbeaclosedconvexpointedconeinZ.ThedualconesofCandKaredefinedasrespec...
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ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR |
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| GONG Xun hua.ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR[J].Journal of Systems Science and Complexity,2000(1). |
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| Authors: | GONG Xun hua |
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| Abstract: | In this paper, we present a sufficient and necessary condition for the existence of the Lagrange multiplier for the general convex vector optimization problem. In the condition, we may allow that the constraint cone has an empty interior. |
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| Keywords: | Convex vector optimization Lagrange multiplier saddle point |
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