Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 27154, 20 p.
doi:10.1155/FPTA/2006/27154
A degree theory for a class of perturbed Fredholm maps. II
Pierluigi Benevieri1
, Alessandro Calamai2
and Massimo Furi1
1Dipartimento di Matematica Applicata “G. Sansone”, Via S. Marta 3, Firenze 50139, Italy
2Dipartimento di Matematica “U. Dini”, Viale G.B. Morgagni 67/A, Firenze 50134, Italy
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 α-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.