Data

NameEspínola García, Rafael
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  Statistics

  • Items

    25

  • Visits

    2582

  • Downloads

    6620

  Publications

 

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New examples of subsets of c with the FPP and stability of the FPP in hyperconvex spaces

Espínola García, Rafael; Japón Pineda, María de los Ángeles; Souza, Daniel (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 ...
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Borsuk-Dugundji type extension theorems with Busemann convex target spaces

Espínola García, Rafael; Madiedo Castro, Óscar Reynaldo; Nicolae, Adriana (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
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Teoremas de punto fijo para aplicaciones contractivas y no expansivas

Espínola García, Rafael; Llorente Gunowski, Fátima (2018-01-01)
In this work we present some theorems about fixed points, with an specific goal: Fixed points of contractive and non ...
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On stationary points of nonexpansive set-valued mappings

Espínola García, Rafael; Hosseini, Meraj; Nourouzi, Kourosh (Springer, 2015-12-01)
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that ...
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Continuous selections of Lipschitz extensions in metric spaces

Espínola García, Rafael; Nicolae, Adriana (Springer, 2015-09-01)
This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of ...
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Diversities, hyperconvexity and fixed points

Piatek, Bozena; Espínola García, Rafael (Elsevier, 2014-01-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. ...
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The fixed point property and unbounded sets in CAT(0) spaces

Espínola García, Rafael; Pia̧tek, Bozėna (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 ...
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Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces

Espínola García, Rafael; Nicolae, Adriana (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) ...
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Metric fixed point theory on hyperconvex spaces: recent progress

Espínola García, Rafael; Lorenzo Ramírez, Josefa (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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Applications of fixed point theorems in the theory of invariant subspaces

Espínola García, Rafael; Lacruz Martín, Miguel Benito (2012-01-01)
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Fixed points, selections and common fixed points for nonexpansive-type mappings

Espínola García, Rafael; Lorenzo Ramírez, Josefa; Nicolae, Adriana (Elsevier, 2011-10-15)
We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and ...
PhD Thesis
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Estudio de algunos aspectos geométricos de los espacios métricos geodésicos y sus consecuencias en la teoría métrica del punto fijo

Espínola García, Rafael; Fernández León, Aurora (2011-01-01)
El primer capítulo de este trabajo es de carácter preliminar y en él se reúnen fundamentalmente los conceptos más elementales ...
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Geodesic Ptolemy spaces and fixed points

Espínola García, Rafael; Nicolae, Adriana (Elsevier, 2011-01-01)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic ...
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On best proximity points in metric and Banach spaces

Espínola García, Rafael; Fernández León, Aurora (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 ...
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Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity

Espínola García, Rafael; Fernández León, Aurora; Piatek, Bozena (SpringerOpen, 2010-01-01)
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly ...
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Common fixed points for multimaps in metric spaces

Espínola García, Rafael; Hussain, Nawab (SpringerOpen, 2010-01-01)
We discuss the existence of common fixed points in uniformly convex metric spaces for singlevalued pointwise asymptotically ...
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CAT(k)-spaces, weak convergence and fixed points

Fernández León, Aurora; Espínola García, Rafael (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, ...
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Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings

Alber, Yakov; Espínola García, Rafael; Lorenzo Ramírez, Josefa (Springer, 2008-06-01)
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = ...
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On selections of the metric projection and best proximity pairs in hyperconvex spaces

Espínola García, Rafael (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 ...
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On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness

Espínola García, Rafael; Wisnicki, Andrzej; Wosko, Jacek (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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Measure of nonhyperconvexity and fixed-point theorems

Espínola García, Rafael; Bugajewski, D (2003-01-01)
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Fixed points and approximate fixed points in product spaces

Espínola García, Rafael; Kirk, William Art (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
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Introduction to hyperconvex spaces

Kirk, William Art; Sims, Brailey; Espínola García, Rafael; Khamsi, Mohamed Amine (Springer, 2001-01-01)
The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive ...
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On a result of W. A. Kirk

Espínola García, Rafael; López Acedo, Genaro (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
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Espacios hiperconvexos y teoría métrica del punto fijo

López Acedo, Genaro; Espínola García, Rafael (1998-01-01)
El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes ...