Birkhoff-Kellogg theorems on invariant directions for multimaps
type: Item
instance of: scholarly article
title: Birkhoff-Kellogg theorems on invariant directions for multimaps
zbMATH Open document ID: 1045.47040
DOI: 10.1155/S1085337503205030
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Abstract and Applied Analysis
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50912
review text: Several Birkhoff-Kellogg type theorems on invariant directions for \(\mathcal{U}^{\mathcal{K}}_{\mathcal{C}}\) multifunctions in Hausdorff locally convex topolocical vector spaces and in Hausdorff topological vector spaces are proved. As consequence, Birkhoff-Kellogg type results for Kakutani multifunctions, acyclic multifunctions, O'Neill multifunctions, approximable multifunctions, and multifunctions admissible in Górniewicz' sense are deduced. Also, invariant direction results for countably condensing multifunctions are presented.
reviewed by: Adrian Petruşel
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1929991
zbMATH Keywords: Kakutani multifunction
zbMATH Keywords: acyclic multifunction
zbMATH Keywords: O'Neill multifunction
zbMATH Keywords: approximable multifunction
zbMATH Keywords: admissible multifunction
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1929991