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Deutsch Intern
    Numerical Mathematics and Optimization

    TALK: Jiri Outrata (Czech Academy of Sciences / Prag, Czech Republic) [English]

    On the Aubin property of solution maps to parameterized variational systems with implicit constraints
    Date: 11/26/2018, 3:00 PM
    Category: Veranstaltung
    Location: Hubland Nord, Geb. 30, 30.02.003
    Organizer: Lehrstuhl für Mathematik VII
    Speaker: Jiri Outrata

    Abstract:
    One considers a class of variational systems  the constraints of which depend both on a parameter as
    well as on the decision variable itself. In this way one can model, e.g., quasi-variational inequalities
    or implicit complementarity problems. On the basis of the recently developed directional limiting calculus
    a new sufficient condition for the Aubin/Lipschitz like property of the respective solution map will be
    derived. At the same time this approach leads to a workable formula for the graphical derivative of this
    solution map which may be used in various sensitivity issues. The results can be applied in post-optimal
    analysis or in some problems with equilibrium constraints and will be illustrated by an academic example.

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