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A degree theory for a class of perturbed Fredholm maps II

Fixed Point Theory and Applications volume 2006, Article number: 27154 (2006) Cite this article

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 and Affiliations

  1. Dipartimento di Matematica Applicata "G. Sansone", Via S. Marta 3, Firenze, 50139, Italy

    Pierluigi Benevieri & Massimo Furi

  2. Dipartimento di Matematica "U. Dini", Viale G.B. Morgagni 67/A, Firenze, 50134, Italy

    Alessandro Calamai

Authors
  1. Pierluigi Benevieri
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  2. Alessandro Calamai
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  3. Massimo Furi
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Corresponding author

Correspondence to Massimo Furi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Benevieri, P., Calamai, A. & Furi, M. A degree theory for a class of perturbed Fredholm maps II. Fixed Point Theory Appl 2006, 27154 (2006). https://doi.org/10.1155/FPTA/2006/27154

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