A degree theory for a class of perturbed Fredholm maps II

<p/> <p>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 <inline...

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Bibliographic Details
Main Authors: Calamai Alessandro, Benevieri Pierluigi, Furi Massimo
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2006/27154
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Summary:<p/> <p>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 <inline-formula><graphic file="1687-1812-2006-27154-i1.gif"/></inline-formula>-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.</p>
ISSN:1687-1820
1687-1812