吉林大学学报(理学版)2012,Vol.50Issue(2):244-250,7.
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
摘要
Abstract
A second-order derivative for set-valued maps was proposed and its properties were discussed. By means of this derivative and second-order contingent derivative, some second-order necessary optimality conditions were established for constrained set-valued optimization problems. And some second-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Key words
second-order contingent set/ asymptotic second-order contingent derivative/ set-valued optimization/ optimality condition分类
数理科学引用本文复制引用
寇喜鹏,彭兴媛,朱胜坤..约束集值优化问题的二阶最优性条件[J].吉林大学学报(理学版),2012,50(2):244-250,7.基金项目
中央高校基本科研业务费项目(批准号:CDJXS11100033). (批准号:CDJXS11100033)