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.
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.