Skip to main content
  • Research Article
  • Open access
  • Published:

Fixed-point-like theorems on subspaces


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)).

Author information

Authors and Affiliations


Corresponding author

Correspondence to Philippe Bich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bich, P., Cornet, B. Fixed-point-like theorems on subspaces. Fixed Point Theory Appl 2004, 602917 (2004).

Download citation

  • Received:

  • Published:

  • DOI: