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A generalized FKKM theorem and variational inequality

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Abstract

We present a generalized FKKM Theorem and it's application to the existence of solution for the variationals inequalities using a generalized coercivity type condition for correspondences defined in L-space.

Suggested Citation

  • Hakim Hammami, 2007. "A generalized FKKM theorem and variational inequality," Documents de travail du Centre d'Economie de la Sorbonne b07076, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:b07076
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/B07076.pdf
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    Keywords

    L-structure; L-spaces; L-KKM correspondences; L-coercing family and variational inequality.;

    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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