MPCC: Strong Stability of M-stationary Points

Harald Günzel, Daniel Hernández Escobar, Jan-J. Rückmann
2021 Set-Valued and Variational Analysis  
AbstractIn this paper we study the class of mathematical programs with complementarity constraints MPCC. Under the Linear Independence constraint qualification MPCC-LICQ we state a topological as well as an equivalent algebraic characterization for the strong stability (in the sense of Kojima) of an M-stationary point for MPCC. By allowing perturbations of the describing functions up to second order, the concept of strong stability refers here to the local existence and uniqueness of an
more » ... nary point for any sufficiently small perturbed problem where this unique solution depends continuously on the perturbation. Finally, some relations to S- and C-stationarity are briefly discussed.
doi:10.1007/s11228-021-00592-2 fatcat:6yepvlevizegdbxfdggptopvf4