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A selection theorem for a new class of set-valued maps

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Abstract

A new class of set-valued maps that includes all upper and lower semicontinuous set-valued maps is introduced. For this class, a selection theorem having applications in the theory of differential inclusions is presented.

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Translated fromMatematicheskie Zametki, Vol. 66, No. 4, pp. 503–507, October, 1999.

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Drozdovskii, S.A., Filippov, V.V. A selection theorem for a new class of set-valued maps. Math Notes 66, 411–414 (1999). https://doi.org/10.1007/BF02679089

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  • DOI: https://doi.org/10.1007/BF02679089

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