STABILITY AND EXISTENCE OF SOLUTIONS FOR WEAK BILEVEL OPTIMIZATION PROBLEMS

被引：0
|
作者：
Keraoui H. [1 ]
Saissi F.E. [2 ]
Aboussoror A. [1 ]
机构：
[1] Faculté des Sciences Semlalia, Cadi Ayyad University, Marrakech
[2] Laboratoire Analyse et Modélisation des Systèmes et Aide à la Décision, Ecole Nationale des Sciences Appliquées de Berrechid, Hassan Premier University, Berrechid
来源：
Applied Set-Valued Analysis and Optimization | 2024年 / 6卷 / 02期
关键词：
Bilevel optimization; Multifunctions; Stability analysis; Variational convergence;
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.
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页码：179 / 192
页数：13
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