Optimality Conditions for a Nonsmooth Semivectorial Bilevel Optimization Problem

被引：2
|
作者：
Dempe, S. [1 ]
Gadhi, N. [2 ]
El Idrissi, M. [2 ]
机构：
[1] TU Bergakad Freiberg, Dept Math & Comp Sci, Freiberg, Germany
[2] Sidi Mohamed Ben Abdellah Univ, Dhar El Mehrez Dept Math, LAMA, Fes, Morocco
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2021年 / 42卷 / 03期
关键词：
Calm; constraint qualification; limiting subdifferential; limiting normal cone; optimality condition; semivectorial bilevel program;
D O I：
10.1080/01630563.2021.1875484
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with a nonsmooth semivectorial bilevel optimization problem (P). Using a scalarization technique, we transform the lower-level problem into several scalar optimization problems (P-zx(s)): We give necessary optimality condition in terms of the limiting subdifferentials and the limiting normal cones. Completely detailed first-order necessary optimality conditions are then derived in the special case where all functions are strictly differentiable.
引用
收藏
页码：298 / 319
页数：22
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