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  • Research Article
  • Open Access

Fixed-point-like theorems on subspaces

Fixed Point Theory and Applications20042004:602917

  • Received: 8 June 2004
  • Published:


We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al. (1990) or Husseini et al. (1990) and the fixed-point theorem by Gale and Mas-Colell (1975) (which generalizes Kakutani's theorem (1941)).

Authors’ Affiliations

Centre de Recherche en Mathématiques de la Décision, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, Paris, 75775, France
Centre de Recherche en Mathématiques, Statistique et Economie Mathématique, Université Paris 1, 106-112 boulevard de l'Hôpital, Paris, 75647, France


© Bich and Cornet 2004