论文标题
关于隐式定义多功能的孤立平静特性
On the isolated calmness property of implicitly defined multifunctions
论文作者
论文摘要
本文介绍了可用的SCD理论（包含衍生物的子空间）映射到不同维空间之间的映射的扩展。该扩展使我们能够为给定参考点的隐式定义多功能孤立地镇定得出可行的足够条件。这种稳定性与某个点的孤立平静有很大不同，并且可能与Aubin属性结合使用，提供了一种新的有用稳定性概念。该应用区域包括一类广泛的参数化广义方程，其中各自的条件可确保其解决方案图的Lipschitztan行为相当强。
The paper deals with an extension of the available theory of SCD (subspace containing derivatives) mappings to mappings between spaces of different dimensions. This extension enables us to derive workable sufficient conditions for the isolated calmness of implicitly defined multifunctions around given reference points. This stability property differs substantially from isolated calmness at a point and, possibly in conjunction with the Aubin property, offers a new useful stability concept. The application area includes a broad class of parameterized generalized equations, where the respective conditions ensure a rather strong type of Lipschitztan behavior of their solution maps.
