4 papers
"Lion-Man" and the Fixed Point Property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation between the fixed point property for continuous mappings and a discrete lion and man game played in a strongly convex domain. Our main result sta…
The fixed point property and unbounded sets in spaces of negative curvature
Bozena Piatek
Motivated by the well-known cases of the real Hilbert ball and complete R-trees, being both particular cases of CAT(-1) spaces, we give an affirmative answer to the question of whe…
Diversities, hyperconvexity and fixed points
Bozena Piatek, Rafa Espinola
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyp…
Viscosity iteration in CAT(k) spaces
Bozena Piatek
We study the approximation of fixed points of nonexpansive mappings in CAT(k) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm conver…