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A Generalization of Fan's Matching Theorem

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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

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  • 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.
    • Handle: RePEc:mse:wpsorb:b06060a
    DOI: 10.1007/s11784-010-0022-z
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    File URL: https://halshs.archives-ouvertes.fr/halshs-00118929
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    File URL: https://doi.org/10.1007/s11784-010-0022-z
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    References listed on IDEAS

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    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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    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

    L-structures; L-spaces; L-KKM maps; L-coercing family; matching theorems; fixed points;
    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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