摘要
考虑目标函数和约束函数都是上半连续拟凸函数的拟凸优化问题,引入较文献(Suzuki,2021)弱的约束规范条件,刻画了该问题基于Greenberg-Pierskalla次微分的KKT类最优性条件,改进了前人的相关结论.
In this paper,we introduce a weaker constraint qualification than that in reference(Suzuki,2021)and establish a Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential when the objective function and the constraint functions are extended real-valued upper semi-continuous quasiconvex functions.
作者
邱丽霞
方东辉
王俊颖
QIU Lixia;FANG Donghui;WANG Junying(College of Mathematics and Statistics,Jishou University,Jishou 416000)
出处
《系统科学与数学》
北大核心
2025年第2期554-562,共9页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(12261037,11861033)
湖南省自然科学基金(2024JJ7396)资助课题。
