Fixed-point-like theorems on subspaces

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...

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Main Authors: Bernard Cornet, Philippe Bich
Format: Article
Language:English
Published: SpringerOpen 2004-08-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/S1687182004406056
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spelling doaj-7b983885ac0942eda28abefb86dede0d2020-11-25T00:25:33ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122004-08-012004315917110.1155/S1687182004406056Fixed-point-like theorems on subspacesBernard CornetPhilippe BichWe 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)).http://dx.doi.org/10.1155/S1687182004406056
collection DOAJ
language English
format Article
sources DOAJ
author Bernard Cornet
Philippe Bich
spellingShingle Bernard Cornet
Philippe Bich
Fixed-point-like theorems on subspaces
Fixed Point Theory and Applications
author_facet Bernard Cornet
Philippe Bich
author_sort Bernard Cornet
title Fixed-point-like theorems on subspaces
title_short Fixed-point-like theorems on subspaces
title_full Fixed-point-like theorems on subspaces
title_fullStr Fixed-point-like theorems on subspaces
title_full_unstemmed Fixed-point-like theorems on subspaces
title_sort fixed-point-like theorems on subspaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2004-08-01
description 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)).
url http://dx.doi.org/10.1155/S1687182004406056
work_keys_str_mv AT bernardcornet fixedpointliketheoremsonsubspaces
AT philippebich fixedpointliketheoremsonsubspaces
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