An equivalent one level optimization problem to a semivectorial bilevel problem

被引：10
|
作者：
Gadhi, N. [1 ]
El idrissi, M. [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, LSO, Dhar El Mahraz, Fes, Morocco
来源：
POSITIVITY | 2018年 / 22卷 / 01期
关键词：
Bilevel optimization; Convex function; Clarke subdifferential; Optimal value function; Optimality conditions; OPTIMALITY CONDITIONS;
D O I：
10.1007/s11117-017-0511-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with a bilevel optimization problem , where the lower level problem is a vector optimization problem. First, we give an equivalent one level optimization problem for which the nonsmooth Mangasarian-Fromowitz constraint qualification can hold at feasible solution. Using a special scalarization function, one deduces necessary optimality condition for the initial problem.
引用
收藏
页码：261 / 274
页数：14
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