instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
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Situación profesional: Catedrático
Despacho: Facultad de Matemáticas
Departamento: Análisis Matemático
Teléfono: 954557982

Fields of Interest

47H,
Nonlinear operators and their properties {For global and geometric aspects

Proyectos de la JJAA

P08-FQM-03543 Análisis Matemático Responsable
EXC/2005/FQM-627 Análisis Matemático Responsable

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 Miembro del Proyecto
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 Responsable

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM127 Análisis Funcional no Lineal Responsable


Listado de Artículos (22)

  • Domínguez Benavides, T., Japón, M.A.. A fixed-point characterization of weak compactness in Banach spaces with unconditional Schauder basis. Journal of Mathematical Analysis and Applications (2017)
  • Benavides, T.D., Papini, P.L.. Simple problems on maximal and minimal convex sets, trivial or nontrivial solutions?. Journal of Nonlinear and Convex Analysis (2017)
  • Betiuk-Pilarska, A., Domínguez Benavides, T., Lorenzo Ramírez, P.. Fixed points for Suzuki type mappings by means of "ultra"-techniques. Journal of Nonlinear and Convex Analysis (2017)
  • Domínguez-Benavides, T.. Irregular convex sets with fixed-point property for asymptotically regular mappings in $L1$. Journal of Nonlinear and Convex Analysis (2017)
  • Domínguez-Benavides, T., Japón, M.. Compactness and the fixed point property in ?1. Journal of Mathematical Analysis and Applications (2016)
  • Appell, J., Domínguez Benavides, T.. Nonlinear Hammerstein equations and functions of bounded Riesz-Medvedev variation. Topological Methods in Nonlinear Analysis (2016)
  • Domínguez Benavides, T.. On the failure of the fixed point property for some unbounded subsets of ?1. Journal of Nonlinear and Convex Analysis. An International Journal (2016)
  • Betiuk-Pilarska, A.; Domínguez Benavides, T. The fixed point property for some generalized nonexpansive mappings and renormings. Journal of Mathematical Analysis and Applications (2015)
  • Domínguez Benavides, T.; Medina Pérez, B. Generalized nonexpansive mappings on unbounded sets. Journal of Nonlinear and Convex Analysis (2015)
  • Domínguez Benavides, T.; Lorenzo Ramírez, P. A further generalization of nonexpansivity. Journal of Nonlinear and Convex Analysis. An International Journal (2014)
  • Domínguez Benavides, T.; Phothi, S. Some renormings with the stable fixed point property. Fixed Point Theory (2013)
  • T. Domínguez Benavides. Distortion and stability of the fixed point property for non-expansive mappings. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2012)
  • T. Domínguez Benavides. Some questions in metric fixed point theory, by A. W. Kirk, revisited. Arabian Journal of Mathematics (2012)
  • T. Domínguez Benavides. The failure of the fixed point property for unbounded sets in $c_0$. Proceedings of the American Mathematical Society (2012)
  • Domínguez, T.; Lorenzo, J.; Gatica, I. Some generalizations of Kannan's fixed point theorem in $K$-metric spaces. Fixed Point Theory (2012)
  • Tomas Domínguez Benavides, Supaluk Phothi. The Fixed Point Property Under Renorming in Some Classes of Banach Spaces. Nonlinear Analysis-Theory Methods & Applications (2010)
  • Tomas Domínguez Benavides, Beatriz Gavira Aguilar. Does Kirk's Theorem Hold for Multivalued Nonexpansive Mappings?. Fixed Point Theory and Applications (2010)
  • Tomas Domínguez Benavides. The Szlenk Index and the Fixed Point Property Under Renorming. Fixed Point Theory and Applications (2010)
  • Tomas Domínguez Benavides, Mohamed Khamsi. Impact of Kirk's results on the development of fixed point theory. Fixed Point Theory Appl (2010)
  • Tomas Domínguez Benavides. A Renorming of Some Nonseparable Banach Spaces With the Fixed Point Property. Journal of Mathematical Analysis and Applications (2009)
  • Tomas Domínguez Benavides, Josefa Lorenzo Ramirez, Enrique Llorens-Fuster, Jesús García Falset. Fixed Point Properties and Proximinality in Banach spaces. Nonlinear Analysis-Theory Methods & Applications (2009)
  • Tomas Domínguez Benavides, Beatriz Gavira Aguilar. The Fixed Point Property for Multivalued Nonexpansive Mappings. Journal of Mathematical Analysis and Applications (2007)

Libros y capítulos (4)

  • Domínguez Benavides, T.;. Looking for a renorming with the stable-FPP. House of the Book of Science (2013)
  • Domínguez Benavides, T.; Phothi, S.. Genericity of the Fixed Point Property for reflexive spaces under renormings. EDITORIAL Amer. Math. Soc (2010)
  • Domínguez Benavides, T.; Phothi, S.. Genericity of the fixed point property under renorming in some classes of Banach spaces. Yokohama Publishers (2010)
  • Domínguez Benavides, T.;Phothi, S.. Porosity of the Fixed Point Property under renorming. Yokohama Publishers (2008)

Aportaciones a congresos (8)

  • Domínguez Benavides, T.;. Looking for a renorming with the stable-FPP. X International Conference on Fixed Point Theory and Applications (2012)
  • Domínguez Benavides, T.;. Some Generic Results in Nonlinear Analysis. Emerging Problems in Nonlinear Analysis and Differential Equations: Advances in Theory and Applications (2010)
  • Domínguez Benavides, T.;. Some Generic Properties concerning Nonlinear Analysis. NAO-ASIA 2010 (2010)
  • Domínguez Benavides, T.;. Genericity of the fixed point property under renorming in some classes of Banach spaces. IX International Conference on Fixed Point Theory and Applications (2009)
  • Domínguez Benavides, T.;. Genericity of the fixed point property under renorming. Conference on Nonlinear Analysis and Optimization (2008)
  • Domínguez Benavides, T.;. The fixed point property as a generic property. Functional Analysis, Methods and Applications (FAMA-2008) (2008)
  • Domínguez Benavides, T.;. Some renormings of Banach spaces with the fixed point property. ICNODEA 2007 (2007)
  • Domínguez Benavides, T.;. Renormings of Some Classes of Banach Spaces with the Fixed Point Property. PMS-AMS Joint Meeting (2007)

LEYENDA

Arxiv
Doi
MathSciNet
Scopus
Citas
,,, Cuartiles
Listado de Artículos (22)
Irregular convex sets with fixed-point property for asymptotically regular mappings in $L1$ Domínguez-Benavides, T., Journal of Nonlinear and Convex Analysis 2017 - 0
A fixed-point characterization of weak compactness in Banach spaces with unconditional Schauder basis Domínguez Benavides, T., Japón, M.A., Journal of Mathematical Analysis and Applications 2017 - 0
Simple problems on maximal and minimal convex sets, trivial or nontrivial solutions? Benavides, T.D., Papini, P.L., Journal of Nonlinear and Convex Analysis 2017 - 0
Fixed points for Suzuki type mappings by means of "ultra"-techniques Betiuk-Pilarska, A., Domínguez Benavides, T., Lorenzo Ramírez, P., Journal of Nonlinear and Convex Analysis 2017 - 0
Compactness and the fixed point property in ?1 Domínguez-Benavides, T., Japón, M., Journal of Mathematical Analysis and Applications 2016 - 0
Nonlinear Hammerstein equations and functions of bounded Riesz-Medvedev variation Appell, J., Domínguez Benavides, T., Topological Methods in Nonlinear Analysis 2016 - 0
On the failure of the fixed point property for some unbounded subsets of ?1 Domínguez Benavides, T., Journal of Nonlinear and Convex Analysis. An International Journal 2016 - 0
The fixed point property for some generalized nonexpansive mappings and renormings Betiuk-Pilarska, A., Domínguez Benavides, T., Journal of Mathematical Analysis and Applications 2015 - 0
Generalized nonexpansive mappings on unbounded sets Domínguez Benavides, T., Medina Pérez, B., Journal of Nonlinear and Convex Analysis 2015 - 0
A further generalization of nonexpansivity Domínguez Benavides, T., Lorenzo Ramírez, P., Journal of Nonlinear and Convex Analysis. An International Journal 2014 - 0
Some renormings with the stable fixed point property Domínguez Benavides, T., Phothi, S., Fixed Point Theory 2013 - 1
Some generalizations of Kannan's fixed point theorem in $K$-metric spaces Domínguez, T., Lorenzo, J., Gatica, I., Fixed Point Theory 2012 - 0
The failure of the fixed point property for unbounded sets in $c_0$ T. Domínguez Benavides, Proceedings of the American Mathematical Society 2012 - 7
Distortion and stability of the fixed point property for non-expansive mappings T. Domínguez Benavides, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2012 - 5
Some questions in metric fixed point theory, by A. W. Kirk, revisited T. Domínguez Benavides, Arabian Journal of Mathematics 2012 - 0
The Fixed Point Property Under Renorming in Some Classes of Banach Spaces Tomas Domínguez Benavides, Supaluk Phothi, Nonlinear Analysis-Theory Methods & Applications 2010 - 5
Does Kirk's Theorem Hold for Multivalued Nonexpansive Mappings? Tomas Domínguez Benavides, Beatriz Gavira Aguilar, Fixed Point Theory and Applications 2010 - 4
The Szlenk Index and the Fixed Point Property Under Renorming Tomas Domínguez Benavides, Fixed Point Theory and Applications 2010 - 0
Impact of Kirk's results on the development of fixed point theory Tomas Domínguez Benavides, Mohamed Khamsi, Fixed Point Theory Appl 2010 - 0
A Renorming of Some Nonseparable Banach Spaces With the Fixed Point Property Tomas Domínguez Benavides, Journal of Mathematical Analysis and Applications 2009 - 14
Fixed Point Properties and Proximinality in Banach spaces Tomas Domínguez Benavides, Josefa Lorenzo Ramirez, Enrique Llorens-Fuster, Jesús García Falset, Nonlinear Analysis-Theory Methods & Applications 2009 - 2
The Fixed Point Property for Multivalued Nonexpansive Mappings Tomas Domínguez Benavides, Beatriz Gavira Aguilar, Journal of Mathematical Analysis and Applications 2007 - 0