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A generalization of Fan's matching theorem

Author

Listed:
  • Souhail Chebbi

    (KSU - King Saud University [Riyadh])

  • Pascal Gourdel

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Hakim Hammami

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, Ecole Polytechnique de Tunisie - EPT)

Abstract

We introduce a generalized coercivity type condition for set-valued maps defined on topological spaces endowed with a generalized convex structure and we extend the Fan's matching theorem.

Suggested Citation

  • Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," Post-Print hal-00756058, HAL.
    • Handle: RePEc:hal:journl:hal-00756058
    DOI: 10.1007/s11784-010-0022-z
    Note: View the original document on HAL open archive server: https://shs.hal.science/hal-00756058v3
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    References listed on IDEAS

    as
    1. Hichem Ben-El-Mechaiekh & Souhail Chebbi & Monique Florenzano, 2005. "A generalized KKMF principle," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00310492, HAL.
    2. Ben-El-Mechaiekh, H. & Chebbi, S. & Florenzano, M. & Llinares, J.-V., 1997. "Abstract Convexity and Fixed Points," Papiers d'Economie Mathématique et Applications 97.87, Université Panthéon-Sorbonne (Paris 1).
    3. Horvath, Charles D. & Ciscar, Juan Vicente Llinares, 1996. "Maximal elements and fixed points for binary relations on topological ordered spaces," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 291-306.
    Full references (including those not matched with items on IDEAS)

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