Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 439176, 22 pages
doi:10.1155/2009/439176
Fixed point theory for admissible type maps with applications
Ravi P. Agarwal1
and Donal O'Regan2
1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
Abstract
We present new Leray-Schauder alternatives, Krasnoselskii and Lefschetz fixed point theory for multivalued maps between Fréchet spaces. As an application we show that our results are directly applicable to establish the existence of integral equations over infinite intervals.