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)).
This is the publisher's version, also available electronically from http://www.fixedpointtheoryandapplications.com/content/2004/3/602917/abstract.
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