Perfil del autor: Espínola García, Rafael
Datos institucionales
| Nombre | Espínola García, Rafael |
| Departamento | Análisis Matemático |
| Área de conocimiento | Análisis Matemático |
| Categoría profesional | Catedrático de Universidad |
| Correo electrónico | Solicitar |
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Estadísticas
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Nº publicaciones
33
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Nº visitas
4579
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Nº descargas
13286
| Publicaciones |
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Trabajo Fin de Grado
 Propiedad del punto fijo para aplicaciones no expansivas en espacios de Banach y superreflexividad
(2023)
En este trabajo se hace un breve recorrido por la Teoría Métrica del Punto Fijo para aplicaciones no expansivas, con el ... |
Tesis Doctoral
Geometry in metric spaces and fixed point theorems for classes of nonexpansive type mappings
(2023)
The main purpose of this work is to present recent results obtained on the existence of Fxed points for nonexpansive ... |
Trabajo Fin de Máster
Análisis en Espacios Métricos
(2023)
En la memoria expuesta a continuación, queremos hacer una revisión de las funciones de variación acotada en distintos ... |
Trabajo Fin de Grado
Geometría de espacios de Banach : estructura normal y reflexividad
(2023)
El objetivo de este trabajo es el estudio de los espacios de Banach desde una perspectiva más geométrica. Con este fin, ... |
Trabajo Fin de Grado
El problema del transporte minimal de Monge-Kantorovich
(2022)
En la memoria expuesta a continuaci´on, queremos hacer un estudio exhaustivo de la Teor´ıa de la Medida para concluir con ... |
Artículo
Density and extension of differentiable functions on metric measure spaces
(De Gruyte, 2021)
We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study ... |
Artículo
New examples of subsets of c with the FPP and stability of the FPP in hyperconvex spaces
(Springer, 2021)
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 ... |
| Trabajo Fin de Grado |
Trabajo Fin de Grado
Sistemas dinámicos: el efecto mariposa
(2021)
La intención de este trabajo es realizar una introducción a la teoría de los sistemas dinámicos, llegando a abarcar fenómenos ... |
Artículo
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
(Finnish Academy of Science and Letters, 2018)
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. |
Trabajo Fin de Grado
Teoremas de punto fijo para aplicaciones contractivas y no expansivas
(2018)
In this work we present some theorems about fixed points, with an specific goal: Fixed points of contractive and non ... |
Artículo
On stationary points of nonexpansive set-valued mappings
(Springer, 2015)
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that ... |
Artículo
Continuous selections of Lipschitz extensions in metric spaces
(Springer, 2015)
This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of ... |
Artículo
Diversities, hyperconvexity and fixed points
(Elsevier, 2014)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. ... |
Artículo
The fixed point property and unbounded sets in CAT(0) spaces
(Elsevier, 2013)
In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a ... |
Artículo
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
(Springer, 2012)
Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) ... |
| Artículo |
Artículo
Metric fixed point theory on hyperconvex spaces: recent progress
(2012)
In this survey we present an exposition of the development during the last decade of metric fixed point theory on hyperconvex ... |
Artículo
Fixed points, selections and common fixed points for nonexpansive-type mappings
(Elsevier, 2011)
We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and ... |
Artículo
Geodesic Ptolemy spaces and fixed points
(Elsevier, 2011)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic ... |
Tesis Doctoral
Estudio de algunos aspectos geométricos de los espacios métricos geodésicos y sus consecuencias en la teoría métrica del punto fijo
(2011)
El primer capítulo de este trabajo es de carácter preliminar y en él se reúnen fundamentalmente los conceptos más elementales ... |
Artículo
On best proximity points in metric and Banach spaces
(University of Toronto Press, 2011)
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence ... |
Artículo
Common fixed points for multimaps in metric spaces
(SpringerOpen, 2010)
We discuss the existence of common fixed points in uniformly convex metric spaces for singlevalued pointwise asymptotically ... |
Artículo
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
(SpringerOpen, 2010)
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly ... |
Artículo
CAT(k)-spaces, weak convergence and fixed points
(Academic Press, 2009)
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, ... |
Artículo
Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings
(Springer, 2008)
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = ... |
Artículo
On selections of the metric projection and best proximity pairs in hyperconvex spaces
(Maria Curie-Skłodowska University, 2005)
In this work we present new results on nonexpansive retractions and best proximity pairs in hyperconvex metric spaces. We ... |
Artículo
On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness
(University of Houston, 2004)
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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Artículo
Fixed points and approximate fixed points in product spaces
(The Mathematical Society of the Republic of China, 2001)
The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points ... |
Capítulo de Libro
Introduction to hyperconvex spaces
(Springer, 2001)
The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive ... |
Artículo
On a result of W. A. Kirk
(University of Houston, 1999)
W. A. Kirk has recently proved a constructive fixed point theorem for continuous mappings in compact hyperconvex metric ... |
Tesis Doctoral
Espacios hiperconvexos y teoría métrica del punto fijo
(1998)
El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes ... |