SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS  

作　　者：徐义红 刘三阳 

机构地区：[1]Department of Mathematics Nanchang University, Nanchang 330047, China Department of Applied Mathematics, Xidian University, Xi'an 710071,China [2]Department of Applied Mathematics Xidian University, Xi'an 710071, China

出　　处：《Acta Mathematica Scientia》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

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.

关 键 词：Nearly cone-subconvexlikeness convex cones super efficiency SCALARIZATION Lagrangian multipliers 

分 类 号：O174[理学—数学]