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SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS 被引量:14

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS
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摘要 Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the super efficiency are given in terms of scalarization and Lagrangian multipliers. Related results are generalized. Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the super efficiency are given in terms of scalarization and Lagrangian multipliers. Related results are generalized.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期152-160,共9页 数学物理学报(B辑英文版)
基金 ThisresearchwassupportedbytheNationalNaturalScienceFoundationofChina(10261000)theNaturalScienceFoundationofJiangxiProvince(0412013)theBasicTheoryFoundationofNanchangUniversity
关键词 Nearly cone-subconvexlikeness convex cones super efficiency SCALARIZATION Lagrangian multipliers Nearly cone-subconvexlikeness, convex cones, super efficiency, scalarization, Lagrangian multipliers
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