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To the problem of continuity of many-valued mappings

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Abstract

We study the problem of the upper and lower semicontinuity of the union and intersection for a family of many-valued mappings. We establish new conditions of lower semicontinuity for the intersection of a family of lower semicontinuous mappings.

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Authors and Affiliations

  1. Institute of Cybernetics, Ukrainian Academy of Sciences, Kiev

    V. V. Ostapenko

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  1. V. V. Ostapenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1519–1525, November, 1995.

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Ostapenko, V.V. To the problem of continuity of many-valued mappings. Ukr Math J 47, 1733–1740 (1995). https://doi.org/10.1007/BF01057921

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  • DOI: https://doi.org/10.1007/BF01057921

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