Abstract
The author gives a new proof of Attouch-Brezis' theorem concerned with the duality for the sum of convex functions in general Banach spaces, and gives also some sufficient conditions for the difference of two closed convex sets to be closed in reflexive Banach spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 249-254 |
| Number of pages | 6 |
| Journal | Chinese Annals of Mathematics. Series B |
| Volume | 19 |
| Issue number | 3 |
| State | Published - 1998 |
Keywords
- Asymptotic cone
- Conjugate convex function
- Infimal convolution