Duality Minimax and Applications

The paper is devoted to the strong duality minimax theory, that works in infinite dimensional settings, and to its applications. In particular, we deal with the nonconstant gradient constrained problem and with the random traffic equilibrium problem. By means of this theory, we are able to show that, for both problems, the associated infinite dimensional variational inequalitiy on a convex feasible set is equivalent to a system of equations.