Euler characteristic and fixed-point theorems
type: Item
instance of: scholarly article
title: Euler characteristic and fixed-point theorems
zbMATH Open document ID: 1023.47031
DOI: 10.1023/A:1020242731195
published in: Positivity
publication date: 2003-03-12T00:00:00Z
review text: Using the Euler characteristic, the author proves several fixed point theorems or, more precisely, several equilibrium results for convex-valued mappings. The definition of the Euler characteristic presented is well-known in topological fixed point theory. Alas, the references to topological degree theory are not sufficient either.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1880384
zbMATH Keywords: fixed-point
zbMATH Keywords: normal and tangent cones
zbMATH Keywords: Euler characteristic
zbMATH Keywords: equilibrium results
zbMATH Keywords: convex-valued mappings
zbMATH Keywords: topological fixed point theory
author: Bernard Cornet
reviewed by: Lech Górniewicz
MaRDI profile type: Publication
full work available at URL: a:1020242731195
OpenAlex ID: W13681407
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description: scientific article; zbMATH DE number 1880384