Open Access

A degree theory for a class of perturbed Fredholm maps II

Fixed Point Theory and Applications20062006:27154

DOI: 10.1155/FPTA/2006/27154

Received: 30 June 2005

Accepted: 24 October 2005

Published: 16 February 2006

Abstract

In a recent paper we gave a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between real infinite dimensional Banach spaces. Our purpose here is to extend that notion in order to include the degree introduced by Nussbaum for local -condensing perturbations of the identity, as well as the degree for locally compact perturbations of Fredholm maps of index zero recently defined by the first and third authors.

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Authors’ Affiliations

(1)
Dipartimento di Matematica Applicata "G. Sansone"
(2)
Dipartimento di Matematica "U. Dini"

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Copyright

© Pierluigi Benevieri et al. 2006

This article is published under license to BioMed Central Ltd. 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.