1. STABILITY AND EXISTENCE OF SOLUTIONS FOR WEAK BILEVEL OPTIMIZATION PROBLEMS.
- Author
-
KERAOUI, HOUDA, SAISSI, FATIMA EZZAHRA, and ABOUSSOROR, ABDELMALEK
- Subjects
TOPOLOGY ,MATHEMATICS ,MULTIFUNCTION peripherals ,LYAPUNOV functions ,STOCHASTIC convergence - Abstract
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). [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF