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 alpha-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.
A degree theory for a class of perturbed Fredholm maps II / P. Benevieri; A. Calamai; M. Furi. - In: FIXED POINT THEORY AND APPLICATIONS. - ISSN 1687-1820. - ELETTRONICO. - 2006:(2006), pp. 1-20. [10.1155/FPTA/2006/27154]
A degree theory for a class of perturbed Fredholm maps II
BENEVIERI, PIERLUIGI;FURI, MASSIMO
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 alpha-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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.