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arXiv 2013-07-08 0 views

Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions

Farkhi, Elza

Original · EN

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 Rⁿ is proved for weakly cyclic monotone right-hand sides.

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