Abnormal equality-constrained optimization problems: Sensitivity theory

For the equality-constrained optimization problem, we consider the case when the customary regularity of constraints can be violated. Under the assumptions substantially weaker than those previously used in the literature, we develop a reasonably complete local sensitivity theory for this class of problems, including upper and lower bounds for the rate of change of the optimal value function subject to parametric perturbations, as well as the estimates and the description of asymptotic behavior of solutions of the perturbed problems. © Springer-Verlag 2004.