Author profile: López Acedo, Genaro
Institutional data
Name | López Acedo, Genaro |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
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Statistics
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No. publications
29
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No. visits
3406
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No. downloads
4442
Publications |
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Article
![]() A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” gameA uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
(MSP, 2021-01-26)
We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. ... |
Article
![]() Equilibrium problems on Riemannian manifolds with applicationsEquilibrium problems on Riemannian manifolds with applications
(Elsevier, 2019-05-15)
We study the equilibrium problem on general Riemannian manifolds. The results on existence of solutions and on the convex ... |
Article
![]() The proximal point method for locally lipschitz functions in multiobjective optimization with application to the compromise problemThe proximal point method for locally lipschitz functions in multiobjective optimization with application to the compromise problem
(Society for Industrial and Applied Mathematics, 2018-01-01)
This paper studies the constrained multiobjective optimization problem of finding Pareto critical points of vector-valued ... |
Article
![]() What do 'convexities' imply on Hadamard manifolds?What do 'convexities' imply on Hadamard manifolds?
(Springer, 2016-09-01)
Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and ... |
Final Degree Project
![]() Juegos de evasiónJuegos de evasión
(2016-06-20)
The goals of the work are twofold. The first one is about the background of mathematics of pursuit and evasion, models ... |
Article
![]() Quantitative asymptotic regularity results for the composition of two mappingsQuantitative asymptotic regularity results for the composition of two mappings
(Taylor & Francis, 2016-01-01)
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings. |
Article
![]() Proximal point algorithms on Hadamard manifolds: linear convergence and finite terminationProximal point algorithms on Hadamard manifolds: linear convergence and finite termination
(Society for Industrial and Applied Mathematics, 2016-01-01)
In the present paper, we consider inexact proximal point algorithms for finding singular points of multivalued vector ... |
Article
![]() The asymptotic behavior of the composition of firmly nonexpansive mappingsThe asymptotic behavior of the composition of firmly nonexpansive mappings
(Springer, 2015-11-01)
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding ... |
Article
![]() Firmly nonexpansive mappings in classes of geodesic spacesFirmly nonexpansive mappings in classes of geodesic spaces
(American Mathematical Society, 2014-01-01)
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence ... |
Article
![]() Rate of convergence under weak contractiveness conditionsRate of convergence under weak contractiveness conditions
(Casa Cartii de Stiinta, 2013-01-01)
We introduce a new class of selfmaps T of metric spaces, which generalizes the weakly Zamfirescu maps (and therefore weakly ... |
Article |
Article
![]() A fixed point theorem for weakly Zamfirescu mappingsA fixed point theorem for weakly Zamfirescu mappings
(Elsevier, 2011-03-01)
In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23 (1972), 292–298. Zamfirescu gave a fixed point ... |
Article |
Presentation |
Article
![]() Monotone and accretive vector fields on Riemannian manifoldsMonotone and accretive vector fields on Riemannian manifolds
(Springer, 2010-09-01)
The relationship between monotonicity and accretivity on Riemannian manifolds is studied in this paper and both concepts ... |
Article
![]() Iterative algorithms for nonexpansive mappings on Hadamard manifoldsIterative algorithms for nonexpansive mappings on Hadamard manifolds
(The Mathematical Society of the Republic of China, 2010-04-01)
Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are extensions of the well-known Halpern's ... |
Article
![]() Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spacesBrowder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces
(Springer Open, 2010-01-01)
We give a sufficient and necessary condition concerning a Browder’s convergence type theorem for uniformly asymptotically regular one-parameter nonexpansive semigroups in Hilbert spaces. |
PhD Thesis
![]() ![]() Fixed point approximation methods for nonexpansive mappings: optimization problemsFixed point approximation methods for nonexpansive mappings: optimization problems
(2010-01-01)
En esta tesis, se estudia los problemas que aparecen en la conexión entre las teorías de operadores monótonos y aplicaciones ... |
Article
![]() Stable and total Fenchel duality for convex optimization problems in locally convex spacesStable and total Fenchel duality for convex optimization problems in locally convex spaces
(Society for Industrial and Applied Mathematics, 2009-01-01)
We consider the optimization problem (PA) infx∈X{f(x) + g(Ax)} where f and g are proper convex functions defined on locally ... |
Article
![]() Best simultaneous approximation to totally bounded sequences in Banach spacesBest simultaneous approximation to totally bounded sequences in Banach spaces
(Springer, 2008-09-01)
This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in ... |
Article
![]() Complete characterizations of Kadec-Klee properties in Orlicz spacesComplete characterizations of Kadec-Klee properties in Orlicz spaces
(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 ... |
Article
![]() On a result of W. A. KirkOn a result of W. A. Kirk
(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
![]() Espacios hiperconvexos y teoría métrica del punto fijoEspacios hiperconvexos y teoría métrica del punto fijo
(1998-01-01)
El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes ... |
Article
![]() Qualitative and quantitative properties for the space ℓp,qQualitative and quantitative properties for the space ℓp,q
(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 ... |
Article
![]() Remarks on multivalued nonexpansive mappingsRemarks on multivalued nonexpansive mappings
(Soochow University, 1995-01-01)
Convergence of fixed point sets of multivalued nonexpansive mappings is studied under both the Mosco and Hausdorff senses. ... |
Article
![]() The product formulaThe product formula
(Universitat de Barcelona, 1991-01-01)
A useful property of the Brouwer degree relates the degree of a composition of maps to the degree of each map. This property, ... |
Article
![]() Connections between some measures of non-compactness and associated operatorsConnections between some measures of non-compactness and associated operators
(Universidad de Extremadura, 1990-01-01)
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation ... |
Article
![]() Axiomática para el grado muitivaluadoAxiomática para el grado muitivaluado
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1988-01-01)
In this paper we develop an axiomatic theory for the multivalued degree that preserves the basic properties of the classical ... |
PhD Thesis
![]() Teoría del grado multivaluadoTeoría del grado multivaluado
(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). |