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Fixed-point-like theorems on subspaces

Bich, Philippe; Cornet, Bernard (2004), Fixed-point-like theorems on subspaces, Fixed Point Theory and Applications, 2004, 3, p. 159-171. http://dx.doi.org/10.1155/S1687182004406056

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Type
Article accepté pour publication ou publié
Date
2004
Journal name
Fixed Point Theory and Applications
Volume
2004
Number
3
Publisher
Hindawi Publishing Corp
Pages
159-171
Publication identifier
Metadata
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Author(s)
Bich, Philippe cc
Cornet, Bernard
Abstract (EN)
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)).
Subjects / Keywords
fixed-point theorem; fixed-point-like theorem