STABILITY AND EXISTENCE OF SOLUTIONS FOR WEAK BILEVEL OPTIMIZATION PROBLEMS

被引：0

作者：

Keraoui, Houda ^{[1
]}

Saissi, Fatima Ezzahra ^{[2
]}

Aboussoror, Abdelmalek ^{[1
]}

机构：

[1] Faculté des Sciences Semlalia, Cadi Ayyad University, Marrakech, Morocco

[2] Laboratoire Analyse et Modélisation des Systèmes et Aide à la Décision, Ecole Nationale des Sciences Appliquées de Berrechid, Hassan Premier University, Berrechid, Morocco

来源：

Applied Set-Valued Analysis and Optimization | 2024年 / 6卷 / 02期

关键词：

D O I：

10.23952/asvao.6.2024.2.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in finding sufficient conditions, which ensure the existence of solutions to a weak (pessimistic) bilevel optimization problem (S) in a topological sequential setting. To this aim, we consider an approach of (S) by means of a family of regularized perturbed bilevel optimization problems (Sn) of (S). Unlike (S), such problems (Sn) have the privilege to admit solutions under mild assumptions. Using the notion of variational convergence, after establishing stability results, we prove the existence of solutions to problem (S). © 2024 Biemdas Academic Publishers. All rights reserved.

引用

页码：179 / 192

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