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Applications of generalized Ky Fan's matching theorem in minimax and variational inequality

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  • 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 present some application of the generalized Ky Fan's Matching Theorem stated by Chebbi, Gourdel and Hammami in minimax and variational inequalities using a generalized coercivity type condition for correspondences defined in L-space.

Suggested Citation

  • Pascal Gourdel & Hakim Hammami, 2007. "Applications of generalized Ky Fan's matching theorem in minimax and variational inequality," Post-Print halshs-00204627, HAL.
    • Handle: RePEc:hal:journl:halshs-00204627
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00204627
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    References listed on IDEAS

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    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. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2006. "A Generalization of Fan's Matching Theorem," Cahiers de la Maison des Sciences Economiques b06060a, Université Panthéon-Sorbonne (Paris 1), revised Jan 2008.
    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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    Cited by:

    1. Hakim Hammami, 2007. "A generalized FKKM theorem and variational inequality," Post-Print halshs-00204601, HAL.

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