Essential \({\mathcal U}_c^\kappa\)-type maps and Birkhoff--Kellogg theorems
type: Item
instance of: scholarly article
title: Essential \({\mathcal U}_c^\kappa\)-type maps and Birkhoff--Kellogg theorems
zbMATH Open document ID: 1084.47044
DOI: 10.1155/S1048953304302017
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2005-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/52235
review text: A new interesting continuation theorem for \({\mathcal U}_c^\kappa\)-type maps is proved. The analysis involved is elementary and combines properties of the Minkowski functional with fixed point theory for self maps. Using their new homotopy theorem, they prove an ``invariant direction'' result for particular classes of maps. The theory and results presented in this paper extend and unify previously known results.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 2161824
zbMATH Keywords: continuation theorem
zbMATH Keywords: Minkowski functional
zbMATH Keywords: homotopy theorem
zbMATH Keywords: Birkhoff--Kellogg theorem
zbMATH Keywords: essential \({\mathcal U}_c^\kappa\)-type map
MaRDI profile type: Publication
OpenAlex ID: W2901690280
description: scientific article; zbMATH DE number 2161824