Euler Characteristic and Fixed-Point Theorems

Euler Characteristic and Fixed-Point Theorems We propose a geometric definition of the Euler characteristic χ(M) for the class of compact epi-Lipschitzian sets M⊂Rn and we provide existence theorems of (generalized) equilibria for set-valued mappings F when the domain M of F is neither assumed to be convex, nor smooth but has a nonzero Euler characteristic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Euler Characteristic and Fixed-Point Theorems

Positivity , Volume 6 (3) – Oct 12, 2004
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2002 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1020242731195
Publisher site
See Article on Publisher Site

Abstract

We propose a geometric definition of the Euler characteristic χ(M) for the class of compact epi-Lipschitzian sets M⊂Rn and we provide existence theorems of (generalized) equilibria for set-valued mappings F when the domain M of F is neither assumed to be convex, nor smooth but has a nonzero Euler characteristic.

Journal

PositivitySpringer Journals

Published: Oct 12, 2004

References

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