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Some fixed point theorems for discontinuous mappings

Author

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  • Philippe Bich

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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," Post-Print halshs-00119033, HAL.
    • Handle: RePEc:hal:journl:halshs-00119033
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00119033
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    File URL: https://shs.hal.science/halshs-00119033/document
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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.
    2. Sai Praneeth Karimireddy & Wenshuo Guo & Michael I. Jordan, 2022. "Mechanisms that Incentivize Data Sharing in Federated Learning," Papers 2207.04557, arXiv.org.

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    1. Philippe Bich, 2006. "Some fixed point theorems for discontinuous mappings," Cahiers de la Maison des Sciences Economiques b06066, Université Panthéon-Sorbonne (Paris 1).
    2. Takao Fujimoto, 2013. "Fixed Point Theorems for Discontinuous Maps on a Non-convex Domain," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 547-572, July.
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