Abstract
The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclyc monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in Rn is proved for weakly cyclic monotone right-hand sides.
| Original language | English |
|---|---|
| Pages (from-to) | 1629-1636 |
| Number of pages | 8 |
| Journal | Comptes Rendus de L'Academie Bulgare des Sciences |
| Volume | 67 |
| Issue number | 12 |
| State | Published - 2014 |
Keywords
- Cyclic monotone map
- Differential inclusion
- Existence of solutions
- Nonconvex right-hand side
- Weakly monotone map
All Science Journal Classification (ASJC) codes
- General