一类参数变分系统解映射的静态性质

Calmness of Solution Mapping for a Class of Parametric Variational Systems

本文在有限维欧几里得空间中讨论了一类参数变分系统解映射的稳定性性质。不同于借助Fréchet上导数和图导数来讨论静态性质充分条件的方法,本文利用度量正则性的导数准则以及现代变分分析技术给出了关于此类参数变分系统在给定点具有静态性质新的充分条件。

This paper discusses the stability properties of parametric variational systems in a finite dimen-sional Euclidean space. Unlike the method of using Fréchet derivatives and graph derivatives to discuss the sufficient conditions for calmness, this paper uses derivative criteria for metric regu-larity and modern variational analysis techniques to provide new sufficient conditions for such parametric variational systems to have calmness at a given point.