Document Type

Technical Report


This paper pursues a twofold goal. First to derive new results on generalized differentiation in variational analysis focusing mainly on a broad class of intrinsically nondifferentiable marginal/value functions. Then the results established in this direction apply to deriving necessary optimality conditions for the optimistic version of bilevel programs that occupy a remarkable place in optimization theory and its various applications. We obtain new sets of optimality conditions in both smooth and smooth settings of finite-dimensional and infinite-dimensional spaces.

Number in Series



Applied Mathematics | Mathematics

AMS Subject Classification

Primary 49J52, 49J53; Secondary 90C30


This research was partially supported by the US National Science Foundation under grant DMS-1007132, by the Australian Research Council under grant DP-12092508, by the Portuguese Foundation of Science and Technologies under grant MAT/11109, and by the Simons Foundation under grant #208785.