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1 CES - Centre d-économie de la Sorbonne 2 PSE - Paris School of Economics

Abstract : 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.

Keywords : kakutani-s theorem fixed-point theorem grassmannian manifold





Autor: Philippe Bich - Bernard Cornet -

Fuente: https://hal.archives-ouvertes.fr/



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