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Some fixed point theorems for discontinuous mappings

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Abstract

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.

Suggested Citation

  • Philippe Bich, 2006. "Some fixed point theorems for discontinuous mappings," Cahiers de la Maison des Sciences Economiques b06066, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:mse:wpsorb:b06066
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06066.pdf
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    References listed on IDEAS

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    1. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "A Fixed Point Theorem for Discontinuous Functions," Tinbergen Institute Discussion Papers 05-004/1, Tinbergen Institute.
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    Cited by:

    1. Takao Fujimoto, 2013. "Fixed Point Theorems for Discontinuous Maps on a Non-convex Domain," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 547-572, July.

    More about this item

    Keywords

    Schauder fixed point theorem; Brouwer fixed point theorem; discontinuity.;

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