Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 92375, 13 pages
Fixed points of cone compression and expansion
multimaps defined on Fréchet spaces: The projective limit
1Department of Mathematical Sciences, Florida Institute of
Technology, Melbourne 32901-6975, FL, USA
2Department of Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland
Received 9 December 2005; Accepted 5 January 2006
Copyright © 2006 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 a generalization of the cone compression and expansion
results due to Krasnoselskii and Petryshyn for multivalued maps
defined on a Fréchet space . The proof relies on fixed point
results in Banach spaces and viewing as the projective limit
of a sequence of Banach spaces.