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Some continuity properties of polyhedral multifunctions

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Book cover Mathematical Programming at Oberwolfach

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 14))

Abstract

A multifunction is polyhedral if its graph is the union of finitely many polyhedral convex sets. This paper points out some fairly strong continuity properties that such multifunctions satisfy, and it shows how these may be applied to such areas as linear complementarity and parametric programming.

Sponsored by the United States Army under Contract DAAG29-75-C-0024 and by the National Science Foundation under Grants MCS74-20584 A02 and MCS-7901066.

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H. König B. Korte K. Ritter

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© 1981 The Mathematical Programming Society

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Robinson, S.M. (1981). Some continuity properties of polyhedral multifunctions. In: König, H., Korte, B., Ritter, K. (eds) Mathematical Programming at Oberwolfach. Mathematical Programming Studies, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120929

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  • DOI: https://doi.org/10.1007/BFb0120929

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00805-4

  • Online ISBN: 978-3-642-00806-1

  • eBook Packages: Springer Book Archive

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