We define a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between infinite-dimensional real Banach spaces. Our notion extends the degree introduced by Nussbaum for locally -contractive perturbations of the identity, as well as the recent degree for locally compact perturbations of Fredholm maps of index zero defined by the first and third authors.
A degree theory for a class of perturbed Fredholm maps / P. Benevieri; A. Calamai; M. Furi. - In: FIXED POINT THEORY AND APPLICATIONS. - ISSN 1687-1820. - ELETTRONICO. - 2005 (n. 2):(2005), pp. 185-206. [10.1155/FPTA.2005.185]
A degree theory for a class of perturbed Fredholm maps
BENEVIERI, PIERLUIGI;FURI, MASSIMO
2005
Abstract
We define a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between infinite-dimensional real Banach spaces. Our notion extends the degree introduced by Nussbaum for locally -contractive perturbations of the identity, as well as the recent degree for locally compact perturbations of Fredholm maps of index zero defined by the first and third authors.
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