Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

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.

Bibliographic Details
Main Authors: Ravi P. Agarwal, Donal O'Regan
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/43635