2 citations · 2 across the 6 of their papers we have counts for
6 papers
Orbital Lipschitzian mappings and semigroup actions on metric spaces
Rafael Espínola, Maria Japón, Daniel Souza
In this paper we study some results on common fixed points of families of mappings on metric spaces by imposing orbit Lipschitzian conditions on them. These orbit Lipschitzian cond…
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…
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…
Applications of fixed point theorems in the theory of invariant subspaces
Rafa Espínola, Miguel Lacruz
We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the exi…
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. )…
On best proximity points in metric and Banach spaces
Rafa Espinola, Aurora Fernandez-Leon
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We do it from t…