Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions

Abstract

The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is proved for weakly cyclic monotone right-hand sides.

arXiv comment7 pages, 23 references