Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Espínola, Rafa"'
Autor:
Espínola, Rafa, Nicolae, Adriana
In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT$(\kappa)$ spaces with $\kappa > 0$ using a recent definition for the resolvent of a convex, lower semi-continuous func
Externí odkaz:
http://arxiv.org/abs/1607.03660
Autor:
Espínola, Rafa, Nicolae, Adriana
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 bounds for the spaces, the multivalued extension operators that assign to
Externí odkaz:
http://arxiv.org/abs/1502.06842
Autor:
Piatek, Bozena, Espinola, Rafa
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 hyperconvexity, diversities and fixed points of nonexpansive mappings. Mo
Externí odkaz:
http://arxiv.org/abs/1303.7146
Autor:
Espínola, Rafa, Lacruz, Miguel
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 existence of invariant subspaces for an operator on a Banach space.
Externí odkaz:
http://arxiv.org/abs/1210.5557
Autor:
Espinola, Rafa, Nicolae, Adriana
Let $A$ and $X$ be nonempty, bounded and closed subsets of a geodesic metric space $(E,d)$. The minimization (resp. maximization) problem denoted by $\min(A,X)$ (resp. $\max(A,X)$) consists in finding $(a_0,x_0) \in A \times X$ such that $d(a_0,x_0)
Externí odkaz:
http://arxiv.org/abs/1003.4179
Autor:
Espinola, Rafa, Fernandez-Leon, Aurora
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 two different approaches, leading each one of them to different results
Externí odkaz:
http://arxiv.org/abs/0911.5263
Autor:
Espínola, Rafa, Pia̧tek, Bozėna
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2013 408(2):638-654
Autor:
Espínola, Rafa
Publikováno v:
Proceedings of the American Mathematical Society, 2008 Jun 01. 136(6), 1987-1995.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9939-08-09323-4
Publikováno v:
In Journal of Mathematical Analysis and Applications 2011 382(2):503-515
Publikováno v:
In Journal of Approximation Theory 2010 162(7):1364-1380