论文标题
半径定理无限尺寸
Radius Theorems for Subregularity in Infinite Dimensions
论文作者
论文摘要
该论文继续我们先前的工作[7]，介绍了Asen Dontchev发起的亚规格的半径。我们将[7]的结果扩展到一般的Banach/Asplund空间以及其他类别的扰动，并锐化用于分析数学问题的鲁棒性的代码工具以及陈述中映射的相关规律性的鲁棒性。我们还扩展了扰动类别的选择，为此，强度超值的半径的公式是有效的。
The paper continues our previous work [7] on the radius of subregularity that was initiated by Asen Dontchev. We extend the results of [7] to general Banach/Asplund spaces and to other classes of perturbations, and sharpen the coderivative tools used in the analysis of the robustness of well-posedness of mathematical problems and related regularity properties of mappings involved in the statements. We also expand the selection of classes of perturbations, for which the formula for the radius of strong subregularity is valid.
