约束集值优化问题的二阶最优性条件  

Second-Order Optimality Conditions for Constrained Set-Valued Optimization Problems

作　　者：寇喜鹏[1] 彭兴媛[1] 朱胜坤[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《吉林大学学报（理学版）》2012年第2期244-250,共7页Journal of Jilin University:Science Edition

基　　金：中央高校基本科研业务费项目(批准号:CDJXS11100033)

摘　　要：给出集值映射二阶导数的定义,并讨论了其相关性质.运用此二阶导数及二阶相依导数,建立了约束集值优化问题的二阶必要最优性条件.在有限维空间中得到了约束集值优化问题的二阶充分最优性条件.A second-order derivative for set-valued maps was pro posed and its properties were discussed.By means of this derivative and second-order contingent derivative,some second-order necessary optimality condition s were established for constrained set-valued optimization problems.And some s econd-order sufficient optimality conditions were obtained for constrained set-valued optimization problems in finite-dimensional normed spaces.

关 键 词：二阶相依集 渐近二阶相依导数 集值优化 最优性条件 

分 类 号：O221.6[理学—运筹学与控制论]