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

页码：298 / 319

页数：22

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