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Article Dans Une Revue Fixed Point Theory and Applications Année : 2004

Fixed-point-like theorems on subspaces

Philippe Bich
Bernard Cornet

Résumé

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)).
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Dates et versions

halshs-01394846 , version 1 (10-11-2016)

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Philippe Bich, Bernard Cornet. Fixed-point-like theorems on subspaces. Fixed Point Theory and Applications, 2004, 2004, pp.602917 - 602917. ⟨10.1155/S1687182004406056⟩. ⟨halshs-01394846⟩
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