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BENSON PROPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS 被引量:16

BENSON PROPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS
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摘要 Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized. Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第1期95-102,共8页 高校应用数学学报(英文版)(B辑)
基金 theNationalNaturalScienceFoundationofChina (69972 0 36) .
关键词 nearly cone-subconvexlikeness convex cones Benson proper efficiency Lagrangian multiplier theorem. nearly cone-subconvexlikeness, convex cones, Benson proper efficiency, Lagrangian multiplier theorem.
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  • 1Li Y,Chin Ann Math B,1994年,15卷,115页
  • 2Gong X H,J Optim Theory Appl,1994年,83卷,83页
  • 3史树中,凸分析,1990年

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