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
Mordukhovich, Boris S.; Nam, Nguyen Mau; and Phan, Hung M., "Variational Analysis of Marginal Functions with Applications to Bilevel Programming" (2011). Mathematics Research Reports. 91.