In 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 M-stationary 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.

在本文中，我们研究了一类具有互补约束 MPCC 的数学程序。在线性独立约束条件 MPCC-LICQ 下，我们陈述了 MPCC 的 M 平稳点的强稳定性（在 Kojima 的意义上）的拓扑以及等效的代数特征。通过允许描述函数的扰动达到二阶，强稳定性的概念在这里指的是对于任何足够小的扰动问题的 M 平稳点的局部存在和唯一性，其中这个唯一的解决方案持续依赖于扰动。最后，简要讨论了与 S 和 C 平稳性的一些关系。