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math.MG2015
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…
math.MG2013
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…
math.MG2010
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. )…