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约束集值优化问题的二阶最优性条件

寇喜鹏 彭兴媛 朱胜坤

吉林大学学报(理学版)2012,Vol.50Issue(2):244-250,7.
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

寇喜鹏 1彭兴媛 1朱胜坤1

作者信息

  • 1. 重庆大学数学与统计学院,重庆401331
  • 折叠

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)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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