0000000000627815
AUTHOR
P. Loridan
Least-Norm Regularization For Weak Two-Level Optimization Problems
In this paper, we consider a regularization for weak two-level optimization problems by adaptation of the method presented by Solohovic (1970). Existence and approximation results are given in the case in which the constraints to the lower level problems are described by a multifunction. Convergence results for the least-norm regularization under perturbations are also presented.
Regularizations for Two-Level Optimization Problems
Let X and Y be two non empty subsets of finite dimensional euclidian spaces U and Y, f1 and f2 two functionals defined on XxY and valued in ℝ U {+ ∞}.
Approximate solutions for two-level optimization problems
This paper is devoted to general results for approximating two-level optimization problems in which the set of solutions to the lower level problem is not a singleton.