Optimality Conditions for Quasiconvex Programming in Terms of Quasiconjugate Functions

被引：0
|
作者：
Suzuki, Satoshi [1 ]
机构：
[1] Shimane Univ, Dept Math Sci, Matsue, Japan
来源：
MINIMAX THEORY AND ITS APPLICATIONS | 2024年 / 9卷 / 02期
关键词：
Quasiconvex programming; optimality condition; quasiconjugate function; sub differential; SOLUTION SETS; DUALITY; MINIMIZATION; CONSTRAINT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study optimality conditions for quasiconvex programming in terms of quasiconjugate functions. By using Q-conjugate, we show a necessary and sufficient optimality condition for quasiconvex programming. Additionally, by using H-quasiconjugate, O-quasiconjugate, and R-quasiconjugate, we introduce optimality conditions for some kind of evenly quasiconvex objective functions. We investigate evenly convex sets and evenly quasiconvex functions, and continuity of quasiconvex functions.
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页码：407 / 420
页数：14
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