instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
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Situación profesional: Profesor Titular
Despacho: Facultad de Matemáticas
Departamento: Análisis Matemático
Teléfono: 954559560

Proyectos de la JJAA

P08-FQM-03543 Análisis Matemático Miembro del Proyecto
EXC/2005/FQM-627 Análisis Matemático Miembro del Proyecto

Proyectos del Plan Nacional I+D+i

MTM2015-65242-C2-1-P Aplicaciones del Análisis Funcional a la Resolución de Problemas no Lineales, en Optimización Convexa y a la Lineabilidad Responsable
MTM2012-34847-C02-01 Aplicaciones del Análisis Funcional a la Resolución de Ecuaciones no Lineales, Problemas de Optimización y Ciclicida Miembro del Proyecto
MTM2009-10696-C02-01 Operadores no expansivos, monótonos, acretivos y cíclicos: aplicaciones Miembro del Proyecto
MTM2006-13997-C02-01 Teoría métrica del punto fijo, hiperciclicidad y aplicaciones Miembro del Proyecto

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM127 Análisis Funcional no Lineal Miembro del Proyecto


Listado de Artículos (22)

  • Espínola, Rafa; Nicolae, Adriana. Proximal minimization in CAT(?) spaces. Journal of Nonlinear and Convex Analysis. An International Journal (2016)
  • Espínola, R., Nicolae, A.. Continuous selections of Lipschitz extensions in metric spaces. Revista Matematica Complutense (2015)
  • Espínola R., Hosseini, M., Nourouzi, K.. On stationary points of nonexpansive set-valued mappings. Fixed Point Theory and Applications (2015)
  • Espínola, Rafael; Kosuru, G. Sankara Raju; Veeramani, P.. Pythagorean property and best-proximity point theorems. Journal of Optimization Theory and Applications (2014)
  • Rafael Espínola; Bozena Piatek. Diversities, hyperconvexity and fixed points. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2014)
  • Piatek, Bozena; Espínola, Rafa. Fixed points and non-convex sets in CAT(0) spaces.. Topological Methods in Nonlinear Analysis (2013)
  • Espínola García, Rafael; Gabeleh, Moosa. On the structure of minimal sets of relatively nonexpansive mappings. Numerical Functional Analysis and Optimization (2013)
  • Espínola, Rafael; Piatek, Bozèna. The fixed point property and unbounded sets in CAT(0) spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2013)
  • Espínola García, Rafael; Nicolae, Adriana María. Uniform convexity of geodesic Ptolemy spaces. JOURNAL OF CONVEX ANALYSIS (2013)
  • Rafa Espínola; Pepa Lorenzo. Metric fixed point theory on hyperconvex spaces: recent progress. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING (2012)
  • Rafa Espínola; Adriana Nicolae. Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces. MONATSHEFTE FUR MATHEMATIK (2012)
  • Rafa Espínola, Miguel Lacruz. Applications of fixed point theorems in the theory of invariant subspaces. Fixed Point Theory and Applications (2012)
  • Rafael Espínola García, Adriana Nicolae. Geodesic Ptolemy Spaces and Fixed Points. Nonlinear Analysis-Theory Methods & Applications (2011)
  • Rafael Espínola García, Josefa Lorenzo Ramirez, Adriana Nicolae. Fixed Points, Selections and Common Fixed Points for Nonexpansive-Type Mappings. Journal of Mathematical Analysis and Applications (2011)
  • Rafael Espínola García, Aurora Fernández León. On Best Proximity Points in Metric and Banach Spaces. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES (2011)
  • Rafael Espínola García, Nawab Hussain. Common Fixed Points for Multimaps in Metric Spaces. Fixed Point Theory and Applications (2010)
  • Rafael Espínola García, Chong LI, Genaro López Acedo. Nearest and Farthest Points in Spaces of Curvature Bounded Below. Journal of Approximation Theory (2010)
  • Aurora Fernández León, Rafael Espínola García, Bozena Piatek. Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces With no Metric Convexity. Fixed Point Theory and Applications (2010)
  • Rafael Espínola García, Aurora Fernández León. ${Cat}(K)$-Spaces, Weak Convergence and Fixed Points. Journal of Mathematical Analysis and Applications (2009)
  • Rafael Espínola García. A New Approach to Relatively Nonexpansive Mappings. Proceedings of the American Mathematical Society (2008)
  • Yakov Alber, Rafael Espínola García, Josefa Lorenzo Ramirez. Strongly Convergent Approximations to Fixed Points of Total Asymptotically Nonexpansive Mappings. ACTA MATHEMATICA SINICA-ENGLISH SERIES (2008)
  • Rafael Espínola García, Genaro López Acedo, Adrian Petrusel. Crossed Cartesian Product of Multivalued Operators. Nonlinear Functional Analysis and Applications (2007)

Libros y capítulos (3)

  • Rafael Espínola; Aurora Fernández León. Fixed Point Theory in Hyperconvex Metric Spaces. Springer (2014)
  • Espinola, Rafa. Professor William A. Kirk on his 75th birthday. Casa C?r?ii de ?tiin??, Cluj-Napoca (2013)
  • Espinola, Rafa; Petru?el, Adrian; Prus, Stan. Fixed point theory and its applications. House of the Book Science (2013)

Aportaciones a congresos (9)

  • Espínola, Rafael; Lorenzo, P.. Fixed Points, Selections and Extensions in Hyperconvex Spaces and R-trees. The International Methematical Workshop (2012)
  • Espínola, Rafael; Piatek, B.. The fixed point property for unbounded sets in CAT(0) spaces. (2012)
  • Espínola, Rafael; Piatek, B.. The fixed point property for CAT(0) spaces for non convex and unbounded sets. The 10th Intenational Conference on Fixed Point Theory and Applications (2012)
  • Espínola, Rafael; Nicolae, A.. Nearest and farthest points in spaces of curvature bounded below. Convexity in Banach Spaces. A homage to Piearo Papini (2012)
  • Espínola, Rafael; Nicolae, A.. The drop theorem in Busemann convex sapces. (2011)
  • Espínola, Rafael; Nicolae, A.. Ptolemy vs. CAT(0) spaces. (2011)
  • Espínola, Rafael. Geometry in geodesic spaces. (2011)
  • Espínola, Rafael; Piatek B.. The fixed point property for unbounded sets in CAT(0) spaces. (2011)
  • Benjamini, Y; Espínola, Rafael; López, G.. Proyecciones ortogonales (métricas) en espacios de funciones continuas. Tercer Encuentro de Análisis Funcional y Aplicaciones (2007)

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Listado de Artículos (22)
Proximal minimization in CAT(?) spaces Espínola, Rafa, Nicolae, Adriana, Journal of Nonlinear and Convex Analysis. An International Journal 2016 - 0
Continuous selections of Lipschitz extensions in metric spaces Espínola, R., Nicolae, A., Revista Matematica Complutense 2015 - 0
On stationary points of nonexpansive set-valued mappings Espínola R., Hosseini, M., Nourouzi, K., Fixed Point Theory and Applications 2015 - 0
Diversities, hyperconvexity and fixed points Rafael Espínola, Bozena Piatek, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2014 - 2
Pythagorean property and best-proximity point theorems Espínola, Rafael, G. Sankara Raju, Veeramani, P., Journal of Optimization Theory and Applications 2014 - 1
On the structure of minimal sets of relatively nonexpansive mappings Espínola García, Rafael, Gabeleh, Moosa, Numerical Functional Analysis and Optimization 2013 - 0
Uniform convexity of geodesic Ptolemy spaces Espínola García, Rafael, Nicolae, Adriana María, JOURNAL OF CONVEX ANALYSIS 2013 - 0
Fixed points and non-convex sets in CAT(0) spaces. Piatek, Bozena, Espínola, Rafa, Topological Methods in Nonlinear Analysis 2013 - 0
The fixed point property and unbounded sets in CAT(0) spaces Espínola, Rafael, Piatek, Bozèna, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2013 - 0
Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces Rafa Espínola, Adriana Nicolae, MONATSHEFTE FUR MATHEMATIK 2012 - 0
Applications of fixed point theorems in the theory of invariant subspaces Rafa Espínola, Miguel Lacruz, Fixed Point Theory and Applications 2012 - 0
Metric fixed point theory on hyperconvex spaces: recent progress Rafa Espínola, Pepa Lorenzo, ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2012 - 0
Geodesic Ptolemy Spaces and Fixed Points Rafael Espínola García, Adriana Nicolae, Nonlinear Analysis-Theory Methods & Applications 2011 - 0
On Best Proximity Points in Metric and Banach Spaces Rafael Espínola García, Aurora Fernández León, CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 2011 - 0
Fixed Points, Selections and Common Fixed Points for Nonexpansive-Type Mappings Rafael Espínola García, Josefa Lorenzo Ramirez, Adriana Nicolae, Journal of Mathematical Analysis and Applications 2011 - 19
Nearest and Farthest Points in Spaces of Curvature Bounded Below Rafael Espínola García, Chong LI, Genaro López Acedo, Journal of Approximation Theory 2010 - 2
Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces With no Metric Convexity Aurora Fernández León, Rafael Espínola García, Bozena Piatek, Fixed Point Theory and Applications 2010 - 20
Common Fixed Points for Multimaps in Metric Spaces Rafael Espínola García, Nawab Hussain, Fixed Point Theory and Applications 2010 - 15
${Cat}(K)$-Spaces, Weak Convergence and Fixed Points Rafael Espínola García, Aurora Fernández León, Journal of Mathematical Analysis and Applications 2009 - 52
A New Approach to Relatively Nonexpansive Mappings Rafael Espínola García, Proceedings of the American Mathematical Society 2008 - 0
Strongly Convergent Approximations to Fixed Points of Total Asymptotically Nonexpansive Mappings Yakov Alber, Rafael Espínola García, Josefa Lorenzo Ramirez, ACTA MATHEMATICA SINICA-ENGLISH SERIES 2008 - 11
Crossed Cartesian Product of Multivalued Operators Rafael Espínola García, Genaro López Acedo, Adrian Petrusel, Nonlinear Functional Analysis and Applications 2007 - 0


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En curso
En depósito
Defendida

Tesis dirigidas en el Programa de Doctorado en Matemáticas (2)

Aurora Fernández León Estudio de algunos aspectos geométricos de los espacios métricos geodésicos y sus consecuencias en teoría métrica del punto fijo
Adriana María Nicolae Fixed point theory in reflexive metric spaces