四川大学学报（自然科学版）2012，Vol.49Issue(6)：1181-1188,8.DOI:10.3969/j.issn.0490-6756.2012.06.002
集值优化问题的二阶最优性条件
Second-order optimality conditions in set-valued optimization problems
摘要
Abstract
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.Simultaneously,some second-order sufficient optimality conditions for set-valued optimization problems in finite-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Key words
second-order contingent set/second-order asymptotic contingent derivative/set-valued optimization/optimality condition分类
数理科学引用本文复制引用
王学永,朱胜坤,彭兴媛..集值优化问题的二阶最优性条件[J].四川大学学报（自然科学版）,2012,49(6):1181-1188,8.基金项目
中央高校基本科研业务费资助项目(CDJXS11100034) （CDJXS11100034）
