Author profile: Espínola García, Rafael
Institutional data
| Name | Espínola García, Rafael |
| Department | Análisis Matemático |
| Knowledge area | Análisis Matemático |
| Professional category | Catedrático de Universidad |
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Statistics
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No. publications
28
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No. visits
3586
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No. downloads
9961
| Publications |
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Final Degree Project
 El problema del transporte minimal de Monge-Kantorovich
(2022-06-15)
En la memoria expuesta a continuaci´on, queremos hacer un estudio exhaustivo de la Teor´ıa de la Medida para concluir con ... |
Article
New examples of subsets of c with the FPP and stability of the FPP in hyperconvex spaces
(Springer, 2021-07-22)
The purpose of this work is two-fold. On the one side, we focus on the space of real convergent sequences c where we study ... |
Final Degree Project
Sistemas dinámicos: el efecto mariposa
(2021-01-01)
La intención de este trabajo es realizar una introducción a la teoría de los sistemas dinámicos, llegando a abarcar fenómenos ... |
Final Degree Project
Caminos aleatorios y series de Fourier (AM-GF-02)
(2021-01-01)
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Article
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
(Finnish Academy of Science and Letters, 2018-01-01)
In this work we study continuity properties of convex combinations in Busemann convex geodesic spaces and apply them to obtain two extension results for continuous and Lipschitz mappings with values in a Busemann convex space. |
Final Degree Project
Teoremas de punto fijo para aplicaciones contractivas y no expansivas
(2018-01-01)
In this work we present some theorems about fixed points, with an specific goal: Fixed points of contractive and non ... |
Article
On stationary points of nonexpansive set-valued mappings
(Springer, 2015-12-01)
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that ... |
Article
Continuous selections of Lipschitz extensions in metric spaces
(Springer, 2015-09-01)
This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of ... |
Article
Diversities, hyperconvexity and fixed points
(Elsevier, 2014-01-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. ... |
Article
The fixed point property and unbounded sets in CAT(0) spaces
(Elsevier, 2013-12-15)
In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a ... |
Article
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
(Springer, 2012-02-01)
Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) ... |
Article
Metric fixed point theory on hyperconvex spaces: recent progress
(2012-01-01)
In this survey we present an exposition of the development during the last decade of metric fixed point theory on hyperconvex ... |
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Article
Fixed points, selections and common fixed points for nonexpansive-type mappings
(Elsevier, 2011-10-15)
We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and ... |
Article
Geodesic Ptolemy spaces and fixed points
(Elsevier, 2011-01-01)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic ... |
Article
On best proximity points in metric and Banach spaces
(University of Toronto Press, 2011-01-01)
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence ... |
PhD Thesis
Estudio de algunos aspectos geométricos de los espacios métricos geodésicos y sus consecuencias en la teoría métrica del punto fijo
(2011-01-01)
El primer capítulo de este trabajo es de carácter preliminar y en él se reúnen fundamentalmente los conceptos más elementales ... |
Article
Common fixed points for multimaps in metric spaces
(SpringerOpen, 2010-01-01)
We discuss the existence of common fixed points in uniformly convex metric spaces for singlevalued pointwise asymptotically ... |
Article
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
(SpringerOpen, 2010-01-01)
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly ... |
Article
CAT(k)-spaces, weak convergence and fixed points
(Academic Press, 2009-01-01)
In this paper we show that some of the recent results on ¯xed point for CAT(0) spaces still hold true for CAT(1) spaces, ... |
Article
Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings
(Springer, 2008-06-01)
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = ... |
Article
On selections of the metric projection and best proximity pairs in hyperconvex spaces
(Maria Curie-Skłodowska University, 2005-01-01)
In this work we present new results on nonexpansive retractions and best proximity pairs in hyperconvex metric spaces. We ... |
Article
On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness
(University of Houston, 2004-01-01)
The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness. |
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Article
Fixed points and approximate fixed points in product spaces
(The Mathematical Society of the Republic of China, 2001-06-01)
The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points ... |
Chapter of Book
Introduction to hyperconvex spaces
(Springer, 2001-01-01)
The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive ... |
Article
On a result of W. A. Kirk
(University of Houston, 1999-01-01)
W. A. Kirk has recently proved a constructive fixed point theorem for continuous mappings in compact hyperconvex metric ... |
PhD Thesis
Espacios hiperconvexos y teoría métrica del punto fijo
(1998-01-01)
El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes ... |