Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 439176, 22 pages
doi:10.1155/2009/439176
Research Article

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

Received 8 December 2008; Accepted 18 June 2009

Academic Editor: Marlene Frigon

Copyright © 2009 Ravi P. Agarwal and Donal O'Regan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.