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A generalized KKMF principle

Author

Listed:
  • Hichem Ben-El-Mechaiekh

    (Department of Computer Science, Mathematics, and Statistics - American University of Sharjah)

  • Souhail Chebbi

    (LEGI - Laboratoire d'Économie et de Gestion Industrielle [Tunis] - Ecole Polytechnique de Tunisie - UCAR - Université de Carthage (Tunisie))

  • Monique Florenzano

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We present in this paper a generalized version of the celebrated Knaster–Kuratowski–Mazurkiewicz–Fan's principle on the intersection of a family of closed sets subject to a classical geometric condition and a weakened compactness condition. The fixed point formulation of this generalized principle extends the Browder–Fan fixed point theorem to set-valued maps of non-compact convex subsets of topological vector spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:hal:cesptp:halshs-00310492
    DOI: 10.1016/j.jmaa.2004.10.025
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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. 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. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," PSE-Ecole d'économie de Paris (Postprint) hal-00756058, HAL.
    4. Hakim Hammami, 2007. "A generalized FKKM theorem and variational inequality," Post-Print halshs-00204601, HAL.
    5. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," Post-Print hal-00756058, HAL.
    6. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," Post-Print halshs-00118929, HAL.

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    Keywords

    KKMF principle;

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