A Borsuk-type theorem for some classes of perturbed Fredholm maps
Keywords
Oriented Fredholm maps, Borsuk odd mapping theorem, topological degree, measure of noncompactness, $\alpha$-contractive mapsAbstract
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.Downloads
Published
2010-04-23
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1.
BENEVIERI, Pierluigi and CALAMAI, Alessandro. A Borsuk-type theorem for some classes of perturbed Fredholm maps. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 35, no. 2, pp. 379 - 394. [Accessed 24 September 2024].
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