Abstract and Applied Analysis
Volume 2003 (2003), Issue 7, Pages 435-448
doi:10.1155/S1085337503205030
Birkhoff-Kellogg theorems on invariant directions for multimaps
Ravi P. Agarwal1
and Donal O'Regan2
1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901-6975, FL, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
Abstract
We establish Birkhoff-Kellogg type theorems on invariant directions for a general class of maps. Our results, in particular, apply to Kakutani, acyclic, O'Neill, approximable, admissible, and 𝒰cκ maps.