Fixed-Point-Like Theorems on Subspaces

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Issue Date
2004-08-26Author
Bich, Philippe
Cornet, Bernard
Publisher
Hindawi Publishing Corporation
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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 andMas-Colell (1975) (which
generalizes Kakutani’s theorem (1941)).
Description
This is the publisher's version, also available electronically from http://www.fixedpointtheoryandapplications.com/content/2004/3/602917/abstract.
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Citation
Philippe Bich, Bernard Cornet. 2004. "Fixed-Point-Like Theorems on Subspaces." Fixed Point Theory and Applications 3:159-171. http://dx.doi.org/10.1155/S1687182004406056
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