DC复合优化问题的近似最优性条件

doi:10.13438/j.cnki.jdzk.2022.03.005

吉首大学学报（自然科学版） ›› 2022, Vol. 43 ›› Issue (3): 32-37.DOI: 10.13438/j.cnki.jdzk.2022.03.005

DC复合优化问题的近似最优性条件

胡星星，郑晴慧，田利萍

(吉首大学数学与统计学院，湖南吉首 416000)

出版日期:2022-05-25 发布日期:2022-09-06
通讯作者: 田利萍（1993—），女，湖南张家界人，吉首大学数学与统计学院助教，主要从事最优化理论与方法研究.
作者简介:胡星星（1998—），女，河南信阳人,吉首大学数学与统计学院硕士研究生，主要从事最优化理论与方法研究
基金资助:
国家自然科学基金资助项目（11861033）；湖南省自然科学基金资助项目(2020JJ4494)；吉首大学校级科研项目（JDY21017）

Approximate Optimality Conditions for DC Composite Optimization Problems

HU Xingxing,ZHENG Qinghui,TIAN Liping

(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

Online:2022-05-25 Published:2022-09-06

摘要/Abstract

摘要：利用函数ε-次微分的性质，引入新的约束规范条件，建立了DC复合优化问题近似最优解的特征刻画.

关键词： DC复合优化问题, ε-次微分, 约束规范条件, 近似最优解

Abstract: With the properties of function ε-subdifferential and the new constraint qualification,the characteristic characterization of approximate optimal solution for DC composite optimization problem is established.

Key words: DC composite optimization problem, ε-subdifferentials, constraint qualification, approximate optimal solution

胡星星, 郑晴慧, 田利萍. DC复合优化问题的近似最优性条件[J]. 吉首大学学报（自然科学版）, 2022, 43(3): 32-37.

HU Xingxing, ZHENG Qinghui, TIAN Liping. Approximate Optimality Conditions for DC Composite Optimization Problems[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(3): 32-37.

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DC复合优化问题的近似最优性条件

Approximate Optimality Conditions for DC Composite Optimization Problems

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