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arxiv: 1307.2072 · v4 · pith:GU4J5JDYnew · submitted 2013-07-08 · 🧮 math.CA · math.OC

Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions

classification 🧮 math.CA math.OC
keywords cyclicmonotonicitydifferentialexistenceinclusionsright-handsidessolutions
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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.

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