Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization

In the paper, we first establish relationships between second-order contingent derivatives of a given set-valued map and that of the weak perturbation map. Then, these results are applied to sensitivity analysis for parametric equilibrium problems in set-valued optimization.

Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions

Closedness of the solution map is investigated for a sequence of parametric inequality problems related to a “limit” problem governed by a pseudomonotone bifunction. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.