Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
Jan Outrata · Mathematics of Operations Research · 1999
The paper deals with mathematical programs, where parameter-dependent nonlinear complementarity problems arise as side constraints. Using the generalized differential calculus for nonsmooth and set-valued mappings due to B. Mordukhovich, we derive 1st-order necessary optimality conditions. The imposed constraint qualification is studied in detail and compared with other conditions arising in this context.