5 citations · 15 across the 13 of their papers we have counts for
5 papers · 1 filter
Geodesic rays, the "Lion-Man" game, and the fixed point property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point prope…
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the "Lion-Man" game
Ulrich Kohlenbach, Genaro López-Acedo, Adriana Nicolae
In this paper we analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betwee…
Barycenters in uniformly convex geodesic spaces
Laurentiu Leustean, Adriana Nicolae, Alexandru Zaharescu
This note proves a result on the existence of barycenters in a class of uniformly convex geodesic spaces.
Continuous Selections of Lipschitz Extensions in Metric Spaces
Rafa Espínola, Adriana Nicolae
This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of continuity. We show that if assuming appropriate curvature bou…
Mutually nearest and mutually farthest points of sets in geodesic spaces
Rafa Espinola, Adriana Nicolae
Let and be nonempty, bounded and closed subsets of a geodesic metric space . The minimization (resp. maximization) problem denoted by (resp. )…