| The purpose of this thesis is to study a general augmented Lagrangian scheme for optimization and optimal control problems. We establish zero duality gap and exact penalty properties between a primal optimization problem and its augmented Lagrangian dual problem, and characterize local and global solutions for a class of non-Lipschitz penalty problems. We also obtain the existence of an optimal control for an optimal control problem governed by a variational inequality with monotone type mappings, and establish zero duality gap between this optimal control problem and its nonlinear Lagrangian dual problem. |
