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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," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00756058, HAL.
    • Handle: RePEc:hal:cesptp: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. 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.
    2. 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.
    3. 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).
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    Citations

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    Cited by:

    1. Pascal Gourdel & Hakim Hammami, 2007. "Applications of generalized Ky Fan's matching theorem in minimax and variational inequality," Post-Print halshs-00204627, HAL.
    2. Hakim Hammami, 2007. "A generalized FKKM theorem and variational inequality," Post-Print halshs-00204601, HAL.

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    More about this item

    Keywords

    fixed points; L-coercing family; L-spaces; L-KKM maps; matching theorems; L-structures; L-espaces; L-structure; points fixes; théorèmes de correspondance;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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