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Listar por autor "Espínola García, Rafael"
Mostrando ítems 1-20 de 33
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Trabajo Fin de Máster
Análisis en Espacios Métricos
Filigrana Villalba, Raúl (2023)En la memoria expuesta a continuación, queremos hacer una revisión de las funciones de variación acotada en distintos ...
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Artículo
Applications of fixed point theorems in the theory of invariant subspaces
Espínola García, Rafael; Lacruz Martín, Miguel Benito (2012) -
Artículo
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)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.
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Trabajo Fin de Grado
Caminos aleatorios y series de Fourier (AM-GF-02)
Raya Cuesta, Salvador (2021) -
Artículo
CAT(k)-spaces, weak convergence and fixed points
Fernández León, Aurora; Espínola García, Rafael (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, ...
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Artículo
Common fixed points for multimaps in metric spaces
Espínola García, Rafael; Hussain, Nawab (SpringerOpen, 2010)We discuss the existence of common fixed points in uniformly convex metric spaces for singlevalued pointwise asymptotically ...
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Artículo
Continuous selections of Lipschitz extensions in metric spaces
Espínola García, Rafael; Nicolae, Adriana (Springer, 2015-09)This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of ...
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Artículo
Density and extension of differentiable functions on metric measure spaces
Espínola García, Rafael; Sánchez González, Luis (De Gruyte, 2021-11-22)We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study ...
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Artículo
Diversities, hyperconvexity and fixed points
Piatek, Bozena; Espínola García, Rafael (Elsevier, 2014-01)Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. ...
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Tesis Doctoral
Espacios hiperconvexos y teoría métrica del punto fijo
Espínola García, Rafael (1998)El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes ...
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Tesis Doctoral
Estudio de algunos aspectos geométricos de los espacios métricos geodésicos y sus consecuencias en la teoría métrica del punto fijo
Fernández León, Aurora (2011)El primer capítulo de este trabajo es de carácter preliminar y en él se reúnen fundamentalmente los conceptos más elementales ...
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Artículo
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)The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points ...
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Artículo
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)We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly ...
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Artículo
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 ...
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Artículo
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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Trabajo Fin de Grado
Geometría de espacios de Banach : estructura normal y reflexividad
Chacón Falcón, Mario (2023)El objetivo de este trabajo es el estudio de los espacios de Banach desde una perspectiva más geométrica. Con este fin, ...
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Tesis Doctoral
Geometry in metric spaces and fixed point theorems for classes of nonexpansive type mappings
Parasio Sobreira de Souza, Daniel (2023-03-27)The main purpose of this work is to present recent results obtained on the existence of Fxed points for nonexpansive ...
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Capítulo de Libro
Introduction to hyperconvex spaces
Espínola García, Rafael; Khamsi, Mohamed Amine (Springer, 2001)The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive ...
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Artículo
Measure of nonhyperconvexity and fixed-point theorems
Espínola García, Rafael; Bugajewski, D (2003) -
Artículo
Metric fixed point theory on hyperconvex spaces: recent progress
Espínola García, Rafael; Lorenzo Ramírez, Josefa (2012)In this survey we present an exposition of the development during the last decade of metric fixed point theory on hyperconvex ...