A degree theory for a class of perturbed Fredholm maps

A degree theory for a class of perturbed Fredholm maps

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 α-contractive perturbations of the identity, as well as the recent degree for locall...

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Main Authors: Massimo Furi, Alessandro Calamai, Pierluigi Benevieri
Format: Article
Language:English
Published: SpringerOpen 2005-06-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA.2005.185
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spelling doaj-e891a1b05b1e4f15a9351c106cd995ad2020-11-24T21:45:46ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122005-06-012005218520610.1155/FPTA.2005.185A degree theory for a class of perturbed Fredholm mapsMassimo FuriAlessandro CalamaiPierluigi BenevieriWe 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 α-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.http://dx.doi.org/10.1155/FPTA.2005.185
collection DOAJ
language English
format Article
sources DOAJ
author Massimo Furi
Alessandro Calamai
Pierluigi Benevieri
spellingShingle Massimo Furi
Alessandro Calamai
Pierluigi Benevieri
A degree theory for a class of perturbed Fredholm maps
Fixed Point Theory and Applications
author_facet Massimo Furi
Alessandro Calamai
Pierluigi Benevieri
author_sort Massimo Furi
title A degree theory for a class of perturbed Fredholm maps
title_short A degree theory for a class of perturbed Fredholm maps
title_full A degree theory for a class of perturbed Fredholm maps
title_fullStr A degree theory for a class of perturbed Fredholm maps
title_full_unstemmed A degree theory for a class of perturbed Fredholm maps
title_sort degree theory for a class of perturbed fredholm maps
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2005-06-01
description 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 α-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.
url http://dx.doi.org/10.1155/FPTA.2005.185
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AT pierluigibenevieri adegreetheoryforaclassofperturbedfredholmmaps
AT massimofuri degreetheoryforaclassofperturbedfredholmmaps
AT alessandrocalamai degreetheoryforaclassofperturbedfredholmmaps
AT pierluigibenevieri degreetheoryforaclassofperturbedfredholmmaps
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