Second‐Order Optimality Conditions in Minimax Optimization Problems

The paper primarily is concerned with the second‐order optimality conditions for minimax problems, where the constraints are described by a set inclusion and a finite number of equalities, and where all the functions involved are Fréchet differentiable with locally Lipschitz derivatives. We make use of the Mangasarian Fromovitz regularity conditions and of the second‐order Abadie regularity conditions.