instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
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Professional status: Catedrático
Office: Facultad de Matemáticas
Department: Análisis Matemático
Telephone: 954557114

Fields of Interest

47H, 49J, 58C
Nonlinear operators and their properties

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 Applications of the Functional Analysis to the Resolution of Nonlinear Problems, in Convex Optimization and Linearability Responsable
MTM2012-34847-C02-01 Applications of Functional Analysis to the Resoluction of Non-linear Equations, Optimization Problems and Cyclicity. Responsable
MTM2009-10696-C02-01 Operadores no expansivos, monótonos, acretivos y cíclicos: aplicaciones Responsable
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


List of articles (35)

  • Bento, G.C., Cruz Neto, J.X., López, G., Soubeyran, A., Souza, J.C.O.. The proximal point method for locally lipschitz functions in multiobjective optimization with application to the compromise problem. Siam Journal on Optimization (2018)
  • Ariza-Ruiz, D., López-Acedo, G., Nicolae, A.. A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings”. Journal of Optimization Theory and Applications (2017)
  • Ariza-Ruiz, D., Fernández-León, A., López-Acedo, G., Nicolae, A.. Chebyshev sets in geodesic spaces. Journal of Approximation Theory (2016)
  • Kohlenbach, U., López-Acedo, G., Nicolae, A.. Quantitative asymptotic regularity results for the composition of two mappings,. Optimization (2016)
  • Kristály, A., Li, C., López-Acedo, G., Nicolae, A.. What Do ‘Convexities’ Imply on Hadamard Manifolds?. Journal of Optimization Theory and Applications (2016)
  • López-Acedo, Genaro; Piatek, Bozena. Characterization of compact geodesic spaces. Journal of Mathematical Analysis and Applications (2015)
  • Ariza-Ruiz, David; López-Acedo, Genaro; Nicolae, Adriana. The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings. Journal of Optimization Theory and Applications (2015)
  • Wang, Jinhua; Li, Chong; Lopez, Genaro; Yao, Jen-Chih. Convergence analysis of inexact proximal point algorithms on Hadamard manifolds. Journal of Global Optimization (2015)
  • Ariza-Ruiz, David; López-Acedo, Genaro; Martín-Márquez, Victoria. Firmly nonexpansive mappings. Journal of Nonlinear and Convex Analysis (2014)
  • Ariza-Ruiz, David; Leustean, Laurentiu; López-Acedo, Genaro. Firmly nonexpansive mappings in classes of geodesic spaces. Transactions of the American Mathematical Society (2014)
  • Ariza-Ruiz, David; Li, Chong; López-Acedo, Genaro. The Schauder fixed point theorem in geodesic spaces. Journal of Mathematical Analysis and Applications (2014)
  • Ariza-Ruiz, David; Martol Briseid, Eyvind; Jiménez-Melado, Antonio; López-Acedo, Genaro. Rate of convergence under weak contractiveness conditions. Fixed Point Theory (2013)
  • Ariza-Ruiz, David; Jiménez-Melado, Antonio; López-Acedo, Genaro. A generalized suzuki's condition in the sense of Rakotch. Journal of Nonlinear and Convex Analysis (2013)
  • Fang, F.; Martín Márquez, V.; López Acedo, G.; Xu, H.K.. Solving the split feasibility problem without prior knowledge of matrix norms. Inverse Problems (2012)
  • Cacoq, J., López, G.. Convergence of row sequences of simultaneous Fourier-Padé approximation. Jaen Journal on Approximation (2012)
  • Genaro López Acedo,D. Fang, J. He, C. Li. Manns algorithm for nonexpansive mappings in $CAT\(k\)$-spaces. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2012)
  • López Acedo, G.; Colao, V.; Marino, G.; Martin Marquez, V.. Equilibrium problems in Hadamard manifolds. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)
  • López, G.; Martín-Márquez, V. ; Wang, F.; Xu, H. K.. Forward-backward splitting methods for accretive operators in Banach spaces. Abstract and Applied Analysis (2012)
  • Colao, Vittorio; Leustean, Laurentiu; López Acedo, Genaro; Martin Marquez, Victoria.. Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications. Journal of Convex Analysis (2011)
  • López Acedo, Genaro; Collao, V.; Llorens, E.; Marino, G.; Yao, Y.. Fixed-Point Theory, Variational Inequalities, and Its Approximation Algorithms. International Journal of Mathematics and Mathematical Sciences (2011)
  • Wang, Jin-Hua; López, Genaro. Modified proximal point algorithms on Hadamard manifolds. Optimization (2011)
  • Li, Chong; López, Genaro; Martín-Márquez, Victoria; Wang, Jin-Hua. Resolvents of set-valued monotone vector fields in Hadamard manifolds. Set-Valued and Variational Analysis (2011)
  • Ariza-Ruiz, David; Jiménez-Melado, Antonio; López-Acedo, Genaro. A fixed point theorem for weakly Zamfirescu mappings. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2011)
  • Li, Chong; López Acedo, G., Martín Márquez, V. Iterative Algorithms for Nonexpansive Mappings in Hadamard Manifolds. Taiwanese Journal of Mathematics (2010)
  • Rafael Espínola García, Chong LI, Genaro López Acedo. Nearest and Farthest Points in Spaces of Curvature Bounded Below. Journal of Approximation Theory (2010)
  • Genaro López Acedo, Tomonari Suzuki. Browders Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces. Fixed Point Theory and Applications (2010)
  • Chong LI, Genaro López Acedo, Victoria Martin Marquez, Jin Wang. Monotone and Accretive Vector Fields on Riemannian Manifolds. Journal of Optimization Theory and Applications (2010)
  • Genaro López Acedo, Victoria Martin Marquez, Hong Kun Xu. Halperns Iteration for Nonexpansive Mappings. Contemporary Mathematics (2010)
  • Vittorio Colao, Giussepe Marino, Genaro López Acedo. An Implicit Method for Finding Common Solutions of Variational Inequalitiesand Systems of Equilibrium Problems and Fixed Point on Infynite Family of Nonexpansive Mappings. Nonlinear Analysis-Theory Methods & Applications (2009)
  • Chong LI, Genaro López Acedo, D. H. Fang, Marcos López. Stable and Total Fenchel Duality for Convex Problems in Locally Convex Spaces. SIAM Journal on Optimization (2009)
  • Genaro López Acedo, Victoria Martin Marquez, Chong LI. Monotone Vector Fields and the Proximal Point Algorithm on Hadamard Manifolds. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2009)
  • Hong Kun Xu, Genaro López Acedo, Victoria Martin Marquez. Perturbation Techniques for Nonexpansive Mappings With Applications. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2009)
  • Chong LI; Genaro López Acedo. Nonlinear Weighted Best Simultaneous Approximation in Banach Spaces. Journal of Mathematical Analysis and Applications (2008)
  • Luo, Xianfa; Li, Chong; López, Genaro. Best Simultaneous Approximation to Totally Bounded Sequence in Banach Spaces. ACTA MATHEMATICA SINICA-ENGLISH SERIES (2008)
  • Genaro López Acedo; Hong Kun Xu. Iterative Methods for Strict Pseudo-Contractions in Hilbert Spaces. Nonlinear Analysis-Theory Methods & Applications (2007)

Books & Chapters (4)

  • López Acedo, G.; Martín Márquez, V.. Approximation methods for nonexpansive mappings in Hadamard manifolds. Springer (2011)
  • López Acedo, G.; Martín Márquez, V. Xu, H.K.. Iterative Algorithms for the Multiple-Sets Split Feasibility Problem. Publ., Madison (2010)
  • López Acedo, G.; Suzuki, T.. Browders convergence for uniformly asymptotically regular nonexpansive semigroups in Banach spaces.. Yokohama Publ. (2010)
  • López Acedo, G.; Bernal, L.. Análisis de Variable Compleja. Servicio de Publicaciones Universidad de Sevilla (2010)

Congress talks (13)

  • Genaro López. Convex minimization problems and nonexpansive mappings in CAT (0) spaces. (2014)
  • Genaro López. Algorithms in Convex Minimization Problems. Proof Mining and Nonlinear Analysis (2014)
  • Genaro López. Some tools of convex optimization in geodesic spaces. XI International Symposium on Generalized Convexity and Monotonicity (2014)
  • Genaro López. Characterization of compact geodesic spaces.. Workshop on Optimization and Monotone Operators on Manifolds (2014)
  • Genaro López. Funciones convexas en espacios de Hadamard.. Seminario Workshop in Metric Fixed Point Theory (2014)
  • López Acedo, G.. Operadores noexpansivos, monótonos y cíclicos. VII Encuentro de Análisis Funcional y sus Aplicaciones (2011)
  • López Acedo, G.. Operadores monótonos y acretivos en variedades Riemannianas. (2010)
  • López Acedo, G.. Equilibrium problems in Riemannian manifolds. Emerging Problems in Nonlinear Analysis and Differential equations (2010)
  • López Acedo, G.. Nonlinear type vector fields in Riemannian manifolds. Symposium on Banach and Function Spaces (2009)
  • López Acedo, G.. Monotone type vector fields in Riemmannian manifolds. 9th Workshop in Metric Fixed Point Theory (2009)
  • López Acedo, G.. Halpern iterations. Nonlinear Analysis and Optimization (2008)
  • López Acedo, G.. Metric fixed point theory on hyperconvex spaces. Nonlinear Analysis and Convex Analysis (2007)
  • Benjamini, Y; Espínola, Rafael; López, G.. Proyecciones ortogonales (métricas) en espacios de funciones continuas. Tercer Encuentro de Análisis Funcional y Aplicaciones (2007)

LEYENDA

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MathSciNet
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List of articles (35)
The proximal point method for locally lipschitz functions in multiobjective optimization with application to the compromise problem Bento, G.C., Cruz Neto, J.X., López, G., Soubeyran, A., Souza, J.C.O., Siam Journal on Optimization 2018 - 0
A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings” Ariza-Ruiz, D., López-Acedo, G., Nicolae, A., Journal of Optimization Theory and Applications 2017 - 0
Chebyshev sets in geodesic spaces Ariza-Ruiz, D, Fernández-León, A, López-Acedo, G., Nicolae, A., Journal of Approximation Theory 2016 - 1
Quantitative asymptotic regularity results for the composition of two mappings, Kohlenbach, U., López-Acedo, G., Nicolae, A., Optimization 2016 - 0
What Do ‘Convexities’ Imply on Hadamard Manifolds? Kristály, A., Li, C., López-Acedo, G., Nicolae, A., Journal of Optimization Theory and Applications 2016 - 0
Convergence analysis of inexact proximal point algorithms on Hadamard manifolds Wang, Jinhua, Li, Chong, Lopez, Genaro, Yao, Jen-Chih, Journal of Global Optimization 2015 - 1
Characterization of compact geodesic spaces López-Acedo, Genaro, Piatek, Bozena, Journal of Mathematical Analysis and Applications 2015 - 0
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings Ariza-Ruiz, David, López-Acedo, Genaro, Nicolae, Adriana , Journal of Optimization Theory and Applications 2015 - 0
Firmly nonexpansive mappings Ariza-Ruiz, David, López-Acedo, Genaro, Martín-Márquez, Victoria, Journal of Nonlinear and Convex Analysis 2014 - 0
Firmly nonexpansive mappings in classes of geodesic spaces Ariza-Ruiz, David, Leustean, Laurentiu, López-Acedo, Genaro, Transactions of the American Mathematical Society 2014 - 6
The Schauder fixed point theorem in geodesic spaces Ariza-Ruiz, David, Li, Chong, López-Acedo, Genaro, Journal of Mathematical Analysis and Applications 2014 - 4
A generalized suzuki's condition in the sense of Rakotch Ariza-Ruiz, David, Jiménez-Melado, Antonio, López-Acedo, Genaro, Journal of Nonlinear and Convex Analysis 2013 - 0
Rate of convergence under weak contractiveness conditions Ariza-Ruiz, David, Martol Briseid, Eyvind, Jiménez-Melado, Antonio, López-Acedo, Genaro, Fixed Point Theory 2013 - 1
Equilibrium problems in Hadamard manifolds López Acedo, G., Colao, V., Marino, G., Martin Marquez, V., JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2012 - 11
Solving the split feasibility problem without prior knowledge of matrix norms Fang, F., Martín Márquez, V., López Acedo, G., Xu, H.K., Inverse Problems 2012 - 31
Manns algorithm for nonexpansive mappings in $CAT\(k\)$-spaces Genaro López Acedo, D. Fang, J. He, C. Li, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2012 - 10
Forward-backward splitting methods for accretive operators in Banach spaces López, G., Martín-Márquez, V. , Wang, F., Xu, H. K., Abstract and Applied Analysis 2012 - 6
Convergence of row sequences of simultaneous Fourier-Padé approximation Cacoq, J., López, G., Jaen Journal on Approximation 2012 - 1
Resolvents of set-valued monotone vector fields in Hadamard manifolds Li, Chong, López, Genaro, Martín-Márquez, Victoria, Wang, Jin-Hua, Set-Valued and Variational Analysis 2011 - 12
A fixed point theorem for weakly Zamfirescu mappings Ariza-Ruiz, David, Jiménez-Melado, Antonio, López-Acedo, Genaro, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011 - 4
Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications Colao, Vittorio, Leustean, Laurentiu, López Acedo, Genaro, Martin Marquez, Victoria., Journal of Convex Analysis 2011 - 2
Fixed-Point Theory, Variational Inequalities, and Its Approximation Algorithms López Acedo, Genaro, Collao, V., Llorens, E., Marino, G., Yao, Y., International Journal of Mathematics and Mathematical Sciences 2011 - 0
Modified proximal point algorithms on Hadamard manifolds Wang, Jin-Hua, López, Genaro, Optimization 2011 - 4
Nearest and Farthest Points in Spaces of Curvature Bounded Below Rafael Espínola García, Chong LI, Genaro López Acedo, Journal of Approximation Theory 2010 - 2
Monotone and Accretive Vector Fields on Riemannian Manifolds Chong LI, Genaro López Acedo, Victoria Martin Marquez, Jin Wang, Journal of Optimization Theory and Applications 2010 - 19
Browders Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces Genaro López Acedo, Tomonari Suzuki, Fixed Point Theory and Applications 2010 - 2
Halperns Iteration for Nonexpansive Mappings Genaro López Acedo, Victoria Martin Marquez, Hong Kun Xu, Contemporary Mathematics 2010 - 0
Iterative Algorithms for Nonexpansive Mappings in Hadamard Manifolds , Li, Chong, López Acedo, G., Martín Márquez, V, Taiwanese Journal of Mathematics 2010 - 17
Perturbation Techniques for Nonexpansive Mappings With Applications Hong Kun Xu, Genaro López Acedo, Victoria Martin Marquez, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2009 - 24
An Implicit Method for Finding Common Solutions of Variational Inequalitiesand Systems of Equilibrium Problems and Fixed Point on Infynite Family of Nonexpansive Mappings Vittorio Colao, Giussepe Marino, Genaro López Acedo, Nonlinear Analysis-Theory Methods & Applications 2009 - 37
Stable and Total Fenchel Duality for Convex Problems in Locally Convex Spaces , Chong LI, D. H. Fang, Marcos López, SIAM Journal on Optimization 2009 - 16
Monotone Vector Fields and the Proximal Point Algorithm on Hadamard Manifolds Genaro López Acedo, Victoria Martin Marquez, Chong LI, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 2009 - 51
Nonlinear Weighted Best Simultaneous Approximation in Banach Spaces Chong LI, Genaro López Acedo, Journal of Mathematical Analysis and Applications 2008 - 3
Best Simultaneous Approximation to Totally Bounded Sequence in Banach Spaces Luo, Xianfa, Li, Chong, López, Genaro, ACTA MATHEMATICA SINICA-ENGLISH SERIES 2008 - 1
Iterative Methods for Strict Pseudo-Contractions in Hilbert Spaces Genaro López Acedo, Hong Kun Xu, Nonlinear Analysis-Theory Methods & Applications 2007 - 0


Actividades organizadas

12.07.2018

LEYENDA

En curso
En depósito
Defendida

Tesis dirigidas en el Programa de Doctorado en Matemáticas (1)

David Ariza Ruiz Fixed point theorems for weakly contractive type maps and firmly nonexpansive maps