A Metric Version of Milyutin Theorem

作者：Uderzo Amos^*

来源：Set-Valued and Variational Analysis, 2012, 20(2): 279-306.

DOI：10.1007/s11228-011-0193-9

• Open covering
• Metric regularity
• Lipschitz continuity
• Admissible perturbation
• Radius of regularity
• Variational system

Open covering and metric regularity are properties playing a crucial role in several topics of modern variational analysis. Here their stability behaviour in the presence of perturbations is investigated in a purely metric setting. Some results in this sense are obtained, which lead to extend the known Milyutin theorem, and then to expand the concept of radius of regularity, a quantitative measure of the open covering stability. Estimations for the latter in terms of covering moduli are provided.

• 出版日期2012-6