Mordukhovich Normal Cone

Sufficient Conditions for Lipschitzian Error Bounds for Complementarity Systems

  • Mario Jelitte
    • Categories Nonlinear Optimization, Nonsmooth Optimization Tags , , , , , ,

    We are concerned with Lipschitzian error bounds and Lipschitzian stability properties for solutions of a complementarity system. For this purpose, we deal with a nonsmooth slack-variable reformulation of the complementarity system, and study conditions under which the reformulation serves as a local error bound for the solution set of the complementarity system. We also discuss … Read more

    On the Computation of Restricted Normal Cones

  • Mario Jelitte
    • Categories Constrained Nonlinear Optimization, Nonlinear Optimization, Nonsmooth Optimization Tags , , ,

    Restricted normal cones are of interest, for instance, in the theory of local error bounds, where they have recently been used to characterize the exis- tence of a constrained Lipschitzian error bound. In this paper, we establish rela- tions between two concepts for restricted normals. The first of these concepts was introduced in the late … Read more