Abstract
We prove a smooth variational principle with constraints, when the set of constraints is a finite dimensional subspace. A counterexample shows that this result does not remain true if the set of constraints is infinite dimensional. We also obtain a counterexample to the fuzzy sum rule for the subdifferential of two lower semi continuous in infinite dimensional Banach spaces.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 418-426 |
| Number of pages | 9 |
| Journal | Archiv der Mathematik |
| Volume | 69 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 3 1997 |
| Externally published | Yes |