While generalized equations with differentiable single-valued base mappings and the associated Josephyâ€“Newton method have been studied extensively, the setting with semismooth base mapping had notâ€¦ (More)

We present a local convergence analysis of the method of multipliers for equality-constrained variational problems (in the special case of optimization, also called the augmented Lagrangian method)â€¦ (More)

We show that if the equation mapping is 2-regular at a solution in some nonzero direction in the null space of its Jacobian (in which case this solution is critical; in particular, the localâ€¦ (More)

We present local convergence analysis of the method of multipliers for equality-constrained variational problems (in the special case of optimization, also called the augmented Lagrangian method)â€¦ (More)

It is known that when the set of Lagrange multipliers associa ted with a stationary point of a constrained optimization problem is not a singlet on, his set may contain so-called criticalâ€¦ (More)

In the context of complementarity problems, various concepts of solution regularity are known, each of them playing a certain role in the related theoretical and algorithmic developments. Despite theâ€¦ (More)

We prove a new local upper Lipschitz stability result and the associated local error bound for solutions of parametric Karushâ€“Kuhnâ€“Tucker systems corresponding to variational problems withâ€¦ (More)

We consider the inexact restoration and the composite-step sequential quadratic programming (SQP) methods, and relate them to the so-called perturbed SQP framework. In particular, iterations of theâ€¦ (More)