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A topological approach to multivalued Ascoli Theory

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Abstract

The main result of this paper is that every multivalued Ascoli Theorem can be deduced from the classical Ascoli Theorem. We prove equivalent characterizations of even continuity for a family of multifunctions under reasonable assumptions. As an application we obtain improved results about the local compactness of a family of multifunctions.

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Authors and Affiliations

  1. Univesity of Duisburg, Lotharstr.65, D-4100, Duisburg, Federal Republic of Germany

    Hermann Render

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  1. Hermann Render
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Render, H. A topological approach to multivalued Ascoli Theory. Rend. Circ. Mat. Palermo 40, 357–370 (1991). https://doi.org/10.1007/BF02845074

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  • DOI: https://doi.org/10.1007/BF02845074

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