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Fixed-Point-Like Theorems on Subspaces

Bich, Philippe
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Cornet, Bernard
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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 andMas-Colell (1975) (which generalizes Kakutani’s theorem (1941)).
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This is the publisher's version, also available electronically from http://www.fixedpointtheoryandapplications.com/content/2004/3/602917/abstract.
Date
2004-08-26
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Hindawi Publishing Corporation
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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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https://hdl.handle.net/1808/13603
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