Fr, 02.02.2018, 13:30
"Lion Man" and the Fixed Point Property

Referent: Dr. Adriana Nicolae, University of Seville
Raum: S2|15-201

In this talk we are concerned with the relation between the xed point property for continuous mappings and a discrete lion and man game played in a strongly convex domain. Our main result states that in locally compact geodesic spaces or in R-trees, the xed point property of the domain is equivalent to the success of the lion. At the end we review a few applications of proof mining in the context of geodesic metric spaces.
This talk is based on a joint work with Genaro López-Acedo (University of Seville) and Bozena Piatek (Silesian University of Technology).



Fachbereich Mathematik
Technische Universität Darmstadt

Schlossgartenstraße 7
64289 Darmstadt

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