Strong-Weak Nonlinear Bilevel Problems: Existence of Solutions in a Sequential Setting

被引：0

作者：

Abdelmalek Aboussoror

Samir Adly

Fatima Ezzahra Saissi

机构：

[1] Université Cadi Ayyad,Faculté Polydisciplinaire de Safi, Laboratoire LMC

[2] Université de Limoges,undefined

[3] Laboratoire XLIM UMR-CNRS 6172,undefined

来源：

Set-Valued and Variational Analysis | 2017年 / 25卷

关键词：

Bilevel optimization; Convergence of multifunctions; Marginal functions; Variational-convergence; Convex analysis; Primary: 91A65; 90C30; 90C31; Secondary: 46N10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper deals with a strong-weak nonlinear bilevel problem which generalizes the well-known weak and strong ones. In general, the study of the existence of solutions to such a problem is a difficult task. So that, for a strong-weak nonlinear bilevel problem, we first give a regularization based on the use of strict 𝜖-solutions of the lower level problem. Then, via this regularization and under sufficient conditions, we show that the problem admits at least one solution. The obtained result is an extension and an improvement of some recent results appeared recently in the literature for both weak nonlinear bilevel programming problems and linear finite dimensional case.

引用

页码：113 / 132

页数：19

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