3 papers
math.OC2016
Proximal minimization in CAT spaces
Rafa Espínola, Adriana Nicolae
In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT spaces with using a recent definitio…
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.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. )…