Weak nonlinear bilevel problems: Existence of solutions via reverse convex and convex maximization problems
Abdelmalek Aboussoror, ,Université Cadi Ayyad, Faculté Polydisciplinaire de Safi, B.P. 4162, Sidi Bouzid, Safi, Samir Adly, Vincent Jalby, ,Laboratoire XLIM UMR-CNRS 6172, Université de Limoges Département de Mathématiques, 123 Avenue Albert Thomas 87060 Limoges Cedex · Journal of Industrial and Management Optimization · 2011
In this paper, for a class of weak bilevel programming problems we provide sufficient conditions guaranteeing the existence of global solutions. These conditions are based on the use of reverse convex and convex maximization problems.