- Tytuł:
- On robustness of the regularity property of maps
- Autorzy:
- Ioffe, A. D.
- Powiązania:
- https://bibliotekanauki.pl/articles/970517.pdf
- Data publikacji:
- 2003
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
prawidłowość metryczna
nachylenie
kryterium prawidłowości
metric regularity
openness at a linear rate
pseudo-Lipschitz (Aubin) property
regularity criterion - Opis:
- The problem considered in the paper can be described as follows. We are given a continuous mapping from one metric space into another which is regular (in the sense of metric regularity or, equivalently, controllability at a linear rate) near a certain point. How small may be an additive perturbation of the mapping which destroys regularity? The paper contains a new proof of a recent theorem of Dontchev-Lewis-Rockafellar for linear perturbations of maps between finite-dimensional Banach spaces and an exact estimate for Lipschitz perturbations of maps between complete metric spaces.
- Źródło:
-
Control and Cybernetics; 2003, 32, 3; 543-554
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł