A degree theory for a class of perturbed Fredholm maps | Zendy

Pierluigi Benevieri | Zendy; Alessandro Calamai | Zendy; Massimo Furi | Zendy

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A degree theory for a class of perturbed Fredholm maps

Author(s) -

Pierluigi Benevieri,

Alessandro Calamai,

Massimo Furi

Publication year - 2005

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/fpta.2005.185

Subject(s) - mathematics , degree (music) , class (philosophy) , banach space , fixed point index , pure mathematics , differential geometry , mathematical analysis , fredholm theory , zero (linguistics) , index (typography) , fredholm integral equation , integral equation , computer science , physics , linguistics , philosophy , artificial intelligence , world wide web , acoustics , boundary value problem

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 ÃŽÂ±-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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