含参DC复合优化问题值函数的Fréchet次微分

doi:10.13438/j.cnki.jdzk.2020.06.004

吉首大学学报（自然科学版） ›› 2020, Vol. 41 ›› Issue (6): 15-20.DOI: 10.13438/j.cnki.jdzk.2020.06.004

含参DC复合优化问题值函数的Fréchet次微分

肖程凤，胡玲莉

(吉首大学数学与统计学院，湖南吉首 416000)

出版日期:2020-11-25 发布日期:2021-02-04
通讯作者: 胡玲莉（1994—），女，湖南吉首人，吉首大学数学与统计学院助教，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）；湖南省研究生科研创新项目资助（CX20201064）

Fréchet Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems

XIAO Chengfeng, HU Lingli

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

Online:2020-11-25 Published:2021-02-04

摘要/Abstract

摘要：利用次微分相关性质，并引入新的约束规范条件，对含参DC复合优化问题的值函数的Fréchet次微分进行了估计.

关键词： Fréchet次微分, 值函数, DC复合优化问题

Abstract: By using the properties of subdifferentials, we introduce a new weaker constraint qualification. Under this constraint qualification, we establish the upper estimates for the Fréchet subdifferential of the value function for the parametrized DC composite optimization problems.

Key words: Fréchet subdifferential, the value function, DC composite optimization problem

肖程凤, 胡玲莉. 含参DC复合优化问题值函数的Fréchet次微分[J]. 吉首大学学报（自然科学版）, 2020, 41(6): 15-20.

XIAO Chengfeng, HU Lingli. Fréchet Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems[J]. Journal of Jishou University(Natural Sciences Edition), 2020, 41(6): 15-20.

参考文献

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含参DC复合优化问题值函数的Fréchet次微分

Fréchet Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems

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