集值优化Benson真有效元的二阶刻画  

Second-order characterizations on Benson proper efficient element of set-valued optimization

作　　者：徐义红[1] 杨赟[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《运筹学学报》2016年第2期88-96,共9页Operations Research Transactions

基　　金：国家自然科学基金(No.11461044);江西省自然科学基金(No.20151BAB201027);江西省教育厅科技项目(No.GJJ12010)

摘　　要：引进了一种新的二阶组合切锥,利用它引进了一种新的二阶组合切导数,称为二阶组合径向切导数,并讨论了它的性质及它与二阶组合切导数的关系,借助二阶径向组合切导数,分别建立了集值优化取得Benson真有效元的最优性充分和必要条件.This paper introduced a new kind of second-order tangent cone, and related second-order tangent derivative, termed as second-order radial composed tangent derivative. Some properties of second-order radial composed tangent derivative and its relationship to second-order composed tangent derivative are discussed. Sufficient and necessary optimality conditions are established respectively for a Benson proper efficient element of set-valued optimization by second-order radial tangent derivative.

关 键 词：二阶组合径向切导数 集值优化 Benson真有效元 

分 类 号：O221[理学—运筹学与控制论] O224[理学—数学]