M. Quincampoix, N. Zlateva

Title: "Parameterized minimax problem: on Lipschitz-like dependence of the solution with respect to the parameter."


Abstract : We study Lipschitz continuity properties of the solutions to a parameterized minimax problem on Banach spaces. We give a sufficient condition to ensure that the map which to any value of the parameter assigns the set of solutions of the problem (possibly multi-valued, and unbounded) satisfies a Lipschitz-like property, introduced by J.-P. Aubin.