International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 13, Article ID 43635, 8 pages
doi:10.1155/IJMMS/2006/43635
Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space
Ravi P. Agarwal1
and Donal O'Regan2
1Department of Mathematical Science, Florida Institute of Technology, Melbourne 32901, FL, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
Abstract
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.