集值优化问题的二阶最优性条件(英文)  

Second-order optimality conditions in set-valued optimization problems

作　　者：王学永[1] 朱胜坤[1] 彭兴媛[1] 

机构地区：[1]重庆大学数学与统计学院

出　　处：《四川大学学报（自然科学版）》2012年第6期1181-1188,共8页Journal of Sichuan University(Natural Science Edition)

基　　金：中央高校基本科研业务费资助项目(CDJXS11100034)

摘　　要：本文提出了集值映射的一种二阶导数,并讨论了其相关性质.运用此二阶导数以及二阶相依导数,作者建立了实赋范空间中集值优化问题的二阶必要最优性条件;同时,在有限维赋范空间中,建立了集值优化问题的二阶充分最优性条件.In this paper, a second-order derivative for set-valued maps is proposed and its properties are discussed. By using this derivative and second-order contingent derivative, some second-order necessary optimality conditions for set-valued optimization problems in real normed spaces are obtained. Simulta- neously, some second-order sufficient optimality conditions for set-valued optimization problems in fi- nite-dimensional normed spaces are established.

关 键 词：二阶相依集 二阶渐近相依导数 集值优化 最优性条件 

分 类 号：O221.6[理学—运筹学与控制论]