论文标题
重新审视度量规则的半径
The Radius of Metric Regularity Revisited
论文作者
论文摘要
该论文通过为Lipschitz连续扰动提供了一个准确的公式，从而扩展了Dontchev，Lewis＆Rockafellar的2003年规则定理半径。在非阿斯普伦德情况下，我们给出了自然的上限，以补充dontchev，Lewis＆Rockafellar在定理中传统的下限。
The paper extends the 2003 radius of metric regularity theorem by Dontchev, Lewis & Rockafellar by providing an exact formula for the radius with respect to Lipschitz continuous perturbations in general Asplund spaces, thus, answering affirmatively an open question raised twenty years ago by Ioffe. In the non-Asplund case, we give natural upper bounds for the radius complementing the conventional lower bound in the theorem by Dontchev, Lewis & Rockafellar.
