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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," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00204627, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00204627
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00204627
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    Cited by:

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

    More about this item

    Keywords

    L-structures; L-spaces; L-KKM correspondences; L-coercing family; minimax and variational inequalities; L-structure; L-espaces; correspondances L-KKM; famille L-coercive; inégalité minimax et variationnelle;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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