Fixed-point-like theorems on subspaces

Philippe Bich () and Bernard Cornet
Additional contact information
Philippe Bich: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

Post-Print from HAL

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 and Mas-Colell (1975) (which generalizes Kakutani's theorem (1941)).

Keywords: kakutani's theorem; fixed-point theorem; grassmannian manifold (search for similar items in EconPapers)
Date: 2004
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01394846
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

Published in Fixed Point Theory and Applications, 2004, 2004, pp.602917 - 602917. ⟨10.1155/S1687182004406056⟩

Downloads: (external link)
https://shs.hal.science/halshs-01394846/document (application/pdf)

Related works:
Working Paper: Fixed-point-like theorems on subspaces (2004)
Working Paper: Fixed-point-like theorems on subspaces (2004)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-01394846

DOI: 10.1155/S1687182004406056

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().