PARAMETERIZED MINIMAX PROBLEM: ON LIPSCHITZ-LIKE DEPENDENCE OF THE SOLUTION WITH RESPECT TO THE PARAMETER

摘要

We study Lipschitz continuity with respect to the parameter of the set of solutions of a parameterized minimax problem on a product Banach space. We present a sufficient condition, ensuring that the map which to any value of the parameter assigns the set of solutions of the problem (possibly multi-valued, and unbounded) possesses Aubin property.