Duplex selections, equilibrium points, and viability tubes

Kánnai, Zoltán

doi:10.1515/puma-2015-0011

Abstract

Existence of viable trajectories to nonautonomous differential inclusions are proven for time-dependent viability tubes. In the convex case we prove a double-selection theorem and a new Scorza-Dragoni type lemma. Our result also provides a new and palpable proof for the equilibrium form of Kakutani’s fixed point theorem.

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Duplex selections, equilibrium points, and viability tubes

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