ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR  

作　　者：GONG Xun hua (Department of Mathematics, Nanchang University, Nanchang 330047, China) 

出　　处：《Systems Science and Mathematical Sciences》2000年第1期17-22,共6页

摘　　要：1.IntroductionLetXbeavectorspace,Ybeatopologicalvectorspace,Zbealocallyconvexspace,andletthetopologicaldualspacesofYandZbedenotedbyY*andZ*,respectively.LetCbeapointedconvexconeinYandKbeaclosedconvexpointedconeinZ.ThedualconesofCandKaredefinedasrespec...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.

关 键 词：Convex vector optimization LAGRANGE MULTIPLIER SADDLE point. 

分 类 号：O224[理学—运筹学与控制论]