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Some remarks on lower hemicontinuity of convex multivalued mappings

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Summary.

For a multifunction a condition sufficient for lower hemicontinuity is presented. It is shown that under convexity of graph it is possible for a multifunction to be not continuous only when a special representation of points of its domain is not feasible.

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Authors and Affiliations

  1. Poznań University of Economics, Chair of Mathematical Economics, Al. Niepodległości 10, 61-657, Poznań, POLAND

    Piotr Maćkowiak

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  1. Piotr Maćkowiak
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Correspondence to Piotr Maćkowiak.

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Received: 4 September 2004, Revised: 10 January 2005,

JEL Classification Numbers:

C61.

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Maćkowiak, P. Some remarks on lower hemicontinuity of convex multivalued mappings. Economic Theory 28, 227–233 (2006). https://doi.org/10.1007/s00199-005-0600-2

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  • DOI: https://doi.org/10.1007/s00199-005-0600-2

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