A Borsuk-type theorem for some classes of perturbed Fredholm maps

Pierluigi Benevieri, Alessandro Calamai

Abstract


We prove an odd mapping theorem of Borsuk type for locally
compact perturbations of Fredholm maps of index zero between Banach spaces.
We extend this result to a more general class of perturbations of Fredholm
maps, defined in terms of measure of noncompactness.

Keywords


Oriented Fredholm maps; Borsuk odd mapping theorem; topological degree; measure of noncompactness; $\alpha$-contractive maps

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