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

Authors

  • Pierluigi Benevieri
  • Alessandro Calamai

Keywords

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

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.

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Published

2010-04-23

How to Cite

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 4 July 2025].

Issue

Vol 35, No 2 (June 2010)

Section

Articles

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