A Generalized Mathematical Program with Equilibrium Constraints
Jan Outrata · SIAM Journal on Control and Optimization · 2000
The paper concerns an optimization problem with a generalized equation among the constraints. This model includes standard mathematical programs with parameter-dependent variational inequalities or complementarity problems as side constraints. Using Mordukhovich’s generalized differential calculus, we derive necessary optimality conditions and apply them to problems, where the equilibria are governed by implicit complementarity problems and by hemivariational inequalities.