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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
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)
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
second-order contingent set
asymptotic second-ord er contingent derivative
set-valued optimization
optimality condition
