摘要
利用函数的近似次微分性质和拟凸函数的生成集的概念,引入一类新的约束规范条件,建立了拟凸规划问题拟(α,ε)-最优解的特征刻画,近似鞍点定理及混合型对偶理论.
By using the properties of the approximate subdifferentials of involved functions and generators of quasiconvex functions,we introduce a new constraint qualification.Under this constraint qualification,characterizations of the quasi(α,ε)-optimal solution,the approximate saddle point theorems and the approximate mixed type duality theorems for quasiconvex programming are established.
作者
方东辉
王俊颖
Fang Donghui;Wang Junying(College of Mathematics and Statistics,Jishou University,Hunan Jishou 416000)
出处
《数学物理学报(A辑)》
北大核心
2025年第2期640-652,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(12261037)
湖南省自然科学基金(2024JJ7396)。
关键词
拟凸规划
拟(α
ε)-最优解
近似鞍点定理
混合型对偶
quasiconvex programming
quasi(α,ε)-optimal solution
approximate saddle point theorem
mixed type duality
