On the existence of a non-anticipating selection of non-anticipating multivalued mapping

D. A. Serkov^ab, A. G. Chentsov<sup>ab

a</sup> Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
^b Ural Federal University named after B.N. Eltsin

Abstract: The existence of a non-anticipating selection of a non-anticipating multifunction is considered. For the case ordinary used in applications, it is shown that every non-anticipating multifunction with non-empty compact values has a nonanticipating selection.

Keywords: non-anticipating multifunction, non-anticipating selection.

UDC: 517.977

Received: 18.04.2018

DOI: 10.20310/1810-0198-2018-23-124-717-725

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