Abstract
We prove that in several classes of optimization problems, including the setting of smooth variational principles, the complement of the set of well-posed problems is σ-porous.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1117-1124 |
| Number of pages | 8 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 128 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2000 |
| Externally published | Yes |
Keywords
- Ill-posed problems
- Porosity
- Porous sets
- Variational principles
- Well-posed optimization problems
ASJC Scopus subject areas
- Applied Mathematics
- General Mathematics