تقرير
The Radius of Metric Regularity Revisited
| العنوان: | The Radius of Metric Regularity Revisited |
|---|---|
| المؤلفون: | Gfrerer, Helmut, Kruger, Alexander Y. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control |
| الوصف: | 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. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2210.13790 |
| رقم الأكسشن: | edsarx.2210.13790 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |