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On almost periodic multivalued maps

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Abstract

We consider multivalued maps\(F:\mathbb{R} \to Z^U \) with compact images in a complete metric spaceU. Conditions on the set of selections of a multivalued mapF are obtained which are necessary and sufficient for the multivalued mapF to be Stepanov almost periodic.

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Authors and Affiliations

  1. Physical-Technical Institute, Ural Division of the Russian Academy of Sciences, Izhevsk

    L. I. Danilov

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  1. L. I. Danilov
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Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 82–90, July, 2000.

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Danilov, L.I. On almost periodic multivalued maps. Math Notes 68, 71–77 (2000). https://doi.org/10.1007/BF02674647

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  • DOI: https://doi.org/10.1007/BF02674647

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