Data

NameDomínguez Benavides, Tomás
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  Statistics

  • Items

    39

  • Visits

    3062

  • Downloads

    4104

  Publications

 

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Komlós' Theorem and the Fixed Point Property for affine mappings

Domínguez Benavides, Tomás; Japón Pineda, María de los Ángeles (American Mathematical Society, 2018-12-01)
Assume that X is a Banach space of measurable functions for which Koml´os’ Theorem holds. We associate to any closed convex ...
Final Degree Project
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Suavidad, convexidad, dualidad y renormamientos

Domínguez Benavides, Tomás; Pérez Velasco, Pedro Pablo (2017-09-01)
The goal of this Bachelor thesis is to study some specifical geometric properties, which are related to the convexity and ...
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Some renormings with the stable fixed point property

Domínguez Benavides, Tomás; Phothi, Supaluk (Casa Cărţii de Ştiinţă Cluj-Napoca, 2013-01-01)
In this paper, we prove that for any number λ < (√33−3)/2, any separable space X can be renormed in such a way that X ...
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Some questions in metric fixed point theory, by A. W. Kirk, revisited

Domínguez Benavides, Tomás (Springer Open, 2012-12-01)
In this survey, we comment on the current status of several questions in Metric Fixed Point Theory which were raised by W. A. Kirk in 1995.
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Some generalizations of Kannan's fixed point theorem in K-metric spaces

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa; Gatica Araus, Iván (Casa Cărţii de Ştiinţă Cluj-Napoca, 2012-01-01)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. ...
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Impact of Kirk's results on the development of fixed point theory

Khamsi, Mohamed Amine; Domínguez Benavides, Tomás (2011-01-01)
PhD Thesis
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Genericity of the fixed point property under renorming.

Domínguez Benavides, Tomás; Phothi, Supaluk (2010-11-25)
Una aplicaci on T de nida de un espacio m etrico M en M se dice no expansiva si d(Tx; Ty) d(x; y) para todo x; y 2 M. ...
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Does Kirk’s theorem hold for multivalued nonexpansive mappings?

Domínguez Benavides, Tomás; Gavira Aguilar, Beatriz (Springer Open, 2010-01-01)
Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in Game Theory ...
Article
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The Szlenk index and the fixed point property under renorming

Domínguez Benavides, Tomás (Springer Open, 2010-01-01)
Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We ...
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The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings

Dhompongsa, Sompong; Domínguez Benavides, Tomás; Kaewcharoen, Anchalee; Kaewkhao, Annop; Panyanak, Bancha (Elsevier, 2006-08-15)
The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular ...
PhD Thesis
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Algunos módulos en espacios de banach con aplicaciones en teoría métrica del punto fijo

Domínguez Benavides, Tomás; Gavira Aguilar, Beatriz (2006-01-01)
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Fixed point theorems for multivalued mappings in modular function spaces

Dhompongsa, Sompong; Domínguez Benavides, Tomás; Kaewcharoen, Anchalee; Panyanak, Bancha (International Society of Mathematical Sciences, 2006-01-01)
The purpose of this paper is to study the existence of fixed points for multivalued nonexpansive mappings in modular ...
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Fixed points of nonexpansive mappings in spaces of continuous functions

Domínguez Benavides, Tomás; Japón Pineda, María de los Ángeles (American Mathematical Society, 2005-01-01)
Let K be a compact metrizable space and C(K) the Banach space of all real continuous functions defined on K with the maximum ...
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Weak compactness and fixed point property for affine mappings

Domínguez Benavides, Tomás; Japón Pineda, María de los Ángeles; Prus, Stanislaw (Elsevier, 2004-04-01)
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed ...
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Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (Elsevier, 2004-03-01)
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial ...
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Non-expansive mappings in spaces of continuous functions

Domínguez Benavides, Tomás; Japón Pineda, María de los Ángeles (Universidad de Extremadura, 2004-01-01)
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Asymptotic centers and fixed points for multivalued nonexpansive mappings

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (Maria Curie-Skłodowska University, 2004-01-01)
Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued ...
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Matrices de Hadamard

Domínguez Benavides, Tomás (Sociedad Española de Matemática Aplicada, 2003-01-01)
Se definen las matrices de Hadamard y se indican algunos problemas referentes a su existencia, construcción y unicidad. ...
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Fixed point theorems for multivalued nonexpansive mappings without uniform convexity

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (2003-01-01)
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Complete characterizations of Kadec-Klee properties in Orlicz spaces

Domínguez Benavides, Tomás; Hudzik, Henryk; López Acedo, Genaro; Mastylo, Mieczyslaw; Sims, Brailey (University of Houston, 2003-01-01)
We study the connections between the Kadec-Klee property for local convergence in measure H`, the Kadec-Klee property for ...
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Asymptotically nonexpansive mappings in modular function spaces

Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (Elsevier, 2002-01-15)
In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ...
PhD Thesis
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Algunos teoremas métricos del punto fijo determinísticos y aleatorios

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (2002-01-01)
"En el Capítulo 1 de la Memoria se recoge la información que consideramos necearia para la valoración y compresión de los ...
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Geometric properties of Banach spaces and metric fixed point theory

Domínguez Benavides, Tomás (Universidad de Extremadura, 2002-01-01)
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Uniformly Lipschitzian mappings in modular function spaces

Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (Elsevier, 2001-10-01)
Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. Assume that C ...
PhD Thesis
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La teoría del punto fijo en espacios funcionales modulares

Domínguez Benavides, Tomás; Amine Khamsi, Mohamed; Samadi, Sedki (2001-02-09)
La teoría del punto fijo ha sido extensamente desarrollada en los espacios de Banach y los espacios métricos, Los espacios ...
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Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings

Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (American Mathematical Society, 2001-01-01)
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under ...
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Asymptotically regular mappings in modular function spaces

Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (Japanese Association of Mathematical Sciences, 2001-01-01)
Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this ...
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The τ-fixed point property for nonexpansive mappings

Domínguez Benavides, Tomás; García Falset, Jesús; Japón Pineda, María de los Ángeles (1998-01-01)
Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive ...
PhD Thesis
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Estabilidad de la propiedad del punto fijo para aplicaciones no-expansivas

Domínguez Benavides, Tomás; Japón Pineda, María de los Ángeles (1998-01-01)
La teoría métrica del punto fijo estudia la existencia de dichos puntos para aplicaciones definidas en un espacio métrico ...
PhD Thesis
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Algunos módulos para la propiedad (B) de Rolewicz y otras propiedades geométricas de los espacios de Banach

Domínguez Benavides, Tomás; Ayerbe Toledano, José María; Francisco Cutillas, Salvador (1997-05-06)
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Qualitative and quantitative properties for the space ℓp,q

Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun (University of Houston, 1996-01-01)
The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp ...
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A geometrical coefficient implying the fixed point property and stability results

Domínguez Benavides, Tomás (University of Houston, 1996-01-01)
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for ...
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Some geometric properties concerning fixed point theory

Domínguez Benavides, Tomás (Universidad Complutense de Madrid, 1996-01-01)
The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section ...
PhD Thesis
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Relaciones entre operadores asociados a distintas medidas de no compacidad

Domínguez Benavides, Tomás; Rodríguez Álvarez, Ramón Jaime (1993-09-13)
El objeto fundamental del trabajo es investigar las relaciones existentes entre operadores contractivos para distintas ...
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Connections between some measures of non-compactness and associated operators

Ayerbe Toledano, José María; Domínguez Benavides, Tomás; López Acedo, Genaro (Universidad de Extremadura, 1990-01-01)
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation ...
PhD Thesis
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Teoría del grado multivaluado

Domínguez Benavides, Tomás; López Acedo, Genaro (1987-01-01)
El primero de los capítulos recoge únicamente los resultados que hemos tenido que utilizar para el desarrollo del trabajo que se presentas, estos resultados han sido extraídos fundamentalmente del libro de K. Deimling (6).
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Aplicaciones de las categorías de Baire a la existencia de solución de una ecuación diferencial en un espacio de Banach

Domínguez Benavides, Tomás (Real Academia de Ciencias Exactas, Físicas y Naturales, 1981-01-01)
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Continuous dependence for implicit differential equations in Banach spaces

Domínguez Benavides, Tomás (Universitat de Barcelona, 1980-01-01)
In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F ...
PhD Thesis
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Sistemas dinámicos en espacios vectoriales topológicos

Castro Brzezicki, Antonio de; Domínguez Benavides, Tomás (1975-01-01)
En la mayor parte de las aplicaciones de la Teoría de Sistemas Dinámicos (espacios de funciones, ecuaciones diferenciales, ...