VICTORIA MARTIN MARQUEZ

Categoría
Profesor Titular de Universidad

Contacto

Correo electrónico

Departamento

Área
Análisis Matemático

Investigación

Grupo de investigación

ANÁLISIS FUNCIONAL NO LINEAL (ANÁLISIS FUNCIONAL NO LINEAL)

Proyectos y contratos de investigación

OPERADORES NO EXPANSIVOS, MONÓTONOS, ACRETIVOS Y CICLICOS: APLICACIONES (MTM2009-10696-C02-01 - Investigador/a)
Aplicaciones del Análisis Funcional a la Resolución de Problemas no Lineales, en Optimización Convexa y a la Lineabilidad (MTM2015-65242-C2-1-P - Investigador/a)
Aplicaciones del Análisis Funcional a la Resolución de Ecuaciones no Lineales, Problemas de Optimización y Ciclicida (MTM2012-34847-C02-01 - Investigador/a)
Aplicaciones del Análisis Funcional a la Resolución de Ecuaciones No Lineales en Optimización Convexa y Lineabilidad (MTM2015-65242-C2-1P - Investigador/a)
Aplicaciones del Análisis Funcional a la resolución de ecuaciones no lineales, problemas de optimización y ciclicidad (MTM 2012-34847-C02-01 - Investigador/a)
Estancia. Technion - Institute Israel of Technology (Responsable)
ANÁLISIS MATEMÁTICO (EXC/2005/FQM-627 - Investigador/a)
ANÁLISIS MATEMÁTICO (EXC/2005/FQM-627 - Investigador/a)

Libros publicados

Martin-Marquez, Victoria:
FIXED POINT APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS: OPTIMIZATION PROBLEMS. VICERRECTORADO DE POSTGRADO Y DOCTORADO DE LA UNIVERSIDAD DE SEVILLA. 2010. 978-84-693-6615-8

Capítulos en Libros

Martin-Marquez, Victoria;Reich, Simeon;Sabach, Shoham:
Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators. Pág. 501-521. En: 50. Springer. Springer. 2013.
López-Acedo, Genaro;Martin-Marquez, Victoria:
APPROXIMATION METHODS FOR NONEXPANSIVE TYPE MAPPINGS IN HADAMARD MANIFOLDS. Pág. 273-299. En: 49. Springer. Springer. 2011.
López-Acedo, Genaro;Martin-Marquez, Victoria;Xu-,Hong:
ITERATIVE ALGORITHMS FOR THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM. Pág. 243-280. MEDICAL PHYSICS PUBLISHING. MEDICAL PHYSICS PUBLISHING. 2010.

Asistencia a congresos

Martin-Marquez, Victoria:
Optimization Techniques on Split Feasibility Problem with applications in Signal Processing. Ponencia en Congreso. 57th Annual Meeting of The Australian Mathematical Society. Sidney, australia. 2013
Martin-Marquez, Victoria:
Asymptotic regularity of the composition of firmly nonexpansive mappings. Ponencia en Congreso. 2 Congreso de Jóvenes Investigadores de la RSME. . 2013
Martin-Marquez, Victoria:
Métodos iterativos para resolver convex feasibility problems y aplicaciones. Ponencia en Congreso. Congreso bienal de la Real Sociedad Matemática Española. . 2013
Martin-Marquez, Victoria:
Optimization Techniques on convex feasibility problems with applications in signal processing. Ponencia en Congreso. XXI Congreso de Matemática Capricornio. ANTOFAGASTA , CHILE. 2012
Martin-Marquez, Victoria:
On iterative methods for solving convex feasibility problems and applications. Ponencia en Congreso. IV Workshop Iberoamericano de matem¿atica aplicada. CHILLÁN, CHILE. 2012
Martin-Marquez, Victoria:
Asymptotic regularity of firmly nonexpansive mappings. Ponencia en Congreso. X International Conference in Fixed Point Theory and Applications. CLUJ-NAPOCA, ROMANIA. 2012
Martin-Marquez, Victoria:
Right Bregman nonexpansive operators in Banach spaces. Ponencia en Congreso. IV Alicante - Elche - Limoges Meeting on Optimization. LIMOGES, FRANCIA. 2012
Martin-Marquez, Victoria:
Asymptotic regularity of compositions and convex combinations of firmly nonexpansive mappings. Ponencia en Congreso. VIII Encuentro Anual de Análisis Funcional y Aplicaciones. LA MANGA.- MURCIA. ESPAÑA. 2012
Martin-Marquez, Victoria:
Split Feasibility Problem: recent advances and applications in signal processing. Ponencia en Congreso. IV Workshop on Metric Fixed Point Theory. . 2012
Gutiérrez-Santacreu, Juan Vicente;Martin-Marquez, Victoria:
II Congreso internacional de docencia universitarias. Comunicación en congreso. II Congreso internacional de docencia universitarias. Vigo (España). 2011
Martin-Marquez, Victoria:
Optimization and fixed point approaches to convex feasibility problems. Poster en Congreso. III Alicante-Elche-Limonge Meeting on Optimization. CASTRO URDIALES, CANTABRIA. 2011
Martin-Marquez, Victoria:
Approximating fixed points of Bregman nonexpansive type mappings in Banach spaces. Ponencia en Congreso. 13thWorkshop onWell-posedness of Optimization problems and related topics. BOROVETS, BULGARIA. 2011
Martin-Marquez, Victoria:
Split Feasibility Problem. Approximating solutions without prior knowledge of matrix norms. Sesión plenaria en Congreso. III Alicante-Elche-Limonge Meeting on Optimization. CASTRO URDIALES, CANTABRIA. 2011
Martin-Marquez, Victoria:
Approximation methods for convex feasibility problems. Comunicación en congreso. XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA). PALMA DE MALLORCA. 2011
Martin-Marquez, Victoria:
Dual averages of representations of maximal monotone operators. Ponencia en Congreso. Workshop on Metric Fixed Point Theory. ALMONASTER LA REAL, HUELVA. 2011
Martin-Marquez, Victoria:
Monotone and accretive vector fields on Riemannian manifolds. Ponencia en Congreso. VII Encuentro de An¿alisis Funcional y Aplicaciones. JACA, HUESCA. 2011
Martin-Marquez, Victoria:
Iterative Approaches to the Multiple-Sets Split Feasibility Problem. Ponencia en Congreso. Advances in Optimization and Related Topics. CENTRE DE RECERCA MATEMATICA (CRM). BARCELONA (ESPAÑA). 2010
Martin-Marquez, Victoria:
Iterative approaches to the Multiple-Sets Split Feasibility Problem. Ponencia en Congreso. Emerging Problems in Nonlinear Analysis and Differential Equations: Advances in Theory and Applications. GLASGOW, ESCOCIA. 2010
Martin-Marquez, Victoria:
Equilibrium problems in Hadamard manifolds. Ponencia en Congreso. Second South Pacific Conference onMathematics. . 2010
Martin-Marquez, Victoria:
Accretive vector fields on Riemannian manifolds. Ponencia en Congreso. Workshop on Metric Fixed Point Theory. ALAJAR, HUELVA. 2010
Martin-Marquez, Victoria:
Different approaches to the Multiple-Sets Split Feasibility Problem. Poster en Congreso. VI Encuentro de An¿alisis Funcional y Aplicaciones. SALOBREÑA, GRANADA. 2010
Martin-Marquez, Victoria:
Iterative methods for the Multiple-Sets Split Feasibility Problem. Poster en Congreso. InternationalWorkshop inMathematical Problems, Models and Methods in Biomedical Imaging. IPAM (UCLA). LOS ÁNGELES, CALIFORNIA (EEUU). 2010
Martin-Marquez, Victoria:
Equilibrium problems on Hadamard manifolds. Ponencia en Congreso. International Symposium onMathematical Programming. CHICAGO, EE UU. 2009
Martin-Marquez, Victoria:
Fixed point algorithms for nonexpansive mappings on Hadamard manifolds. Ponencia en Congreso. BIRS Interdisciplinary Workshop on Fixed-Point Algorithms for Inverse Problems in Science and Engineering. BANFF, ALBERTA, CANADA. 2009
Martin-Marquez, Victoria:
Iterative algorithms for nonexpansive mappings on Hadamard manifolds. Conferencia Congreso no publicada. International Conference in Fixed Point Theory and Applications. CHANGHUA, TAIWAN. 2009
Martin-Marquez, Victoria:
Nonexpansive mappings and monotone vector fields on Hadamard manifolds. Conferencia Congreso no publicada. International Symposium on Variational Analysis and Optimization. KAOHSIUNG, TAIWAN. 2008
Martin-Marquez, Victoria:
PETURBATION TECHNIQUES FOR NONEXPANSIVE MAPPINGS AND APPLICATIONS. Comunicación en congreso. IV ENCUENTRO DE ANÁLISIS FUNCIONAL Y APLICACIONES () (.2008.SALOBREÑA (GRANADA), 2 AL 5 DE ABRIL). SALOBREÑA (GRANADA), 2 AL 5 DE ABRIL. 2008
Martin-Marquez, Victoria:
Iterative Algorithms for nonexpansive mappings with applications to the split feasibility problem. Ponencia en Congreso. Huangguoshu International Interdisciplinary Conference on Biomedical Mathematics - Promising Directions in Imaging, Therapy Planning and Inverse Probl. . 2008
Martin-Marquez, Victoria:
Monotone vector fields on Hadamard manifolds. Comunicación en congreso. Functional Analysis: Methods and Applications. COSENZA, ITALIA. 2008

Artículos publicados

Burachik, Regina;Martin-Marquez, Victoria:
An approach for the convex feasibility problem via Monotropic Programming. Journal of Mathematical Analysis and Applications. 2017. Vol: 453. Núm: 2. Pág. 746-760. 10.1016/j.jmaa.2017.04.023.
Ariza-Ruiz, David;López-Acedo, Genaro;Martin-Marquez, Victoria:
Firmly nonexpansive mappings. Journal of Nonlinear and Convex Analysis. 2014. Vol: 15. Núm: 4. Pág. 61-87.
López-Acedo, Genaro;Ariza Ruiz, David;Martin-Marquez, Victoria:
Firmly nonexpansive mappings. Journal of Nonlinear and Convex Analysis. 2014. Vol: 15. Núm: 1. Pág. 61-87.
Martin-Marquez, Victoria;Reich, Simeon;Sabach, Shoham:
Bregman strongly nonexpansive operators in reflexive Banach spaces. Journal of Mathematical Analysis and Applications. 2013. Vol: 400. Núm: 2. Pág. 597-614. 10.1016/j.jmaa.2012.11.059.
Aragón Artacho, Francisco;Borwein, Jonathan;Martin-Marquez, Victoria;Yao, Liangjin:
Applications of convex Analysis within Mathematics. Mathematical Programming, Series B. 2013. 10.1007/s10107-013-0707-3.
Martin-Marquez, Victoria;Reich, Simeon;Sabach, Shoham:
Iterative Methods for Approximating Fixed Points of Bregman Nonexpansive Operators. Discrete and Continuous Dynamical Systems. Series S. 2013. Vol: 6. Núm: 4. Pág. 1043-1063. 10.3934/dcdss.2013.6.1043.
López-Acedo, Genaro;Martin-Marquez, Victoria;Wang, Fenghui;Xu, Hong-kun:
Solving the split feasibility problem without prior knowledge of matrix norms. Inverse Problems. 2012. Vol: 28. Núm: 8. Pág. 1-18. 10.1088/0266-5611/28/8/085004.
Martin-Marquez, Victoria;Reich, Simeon;Sabach, Shoham:
Right Bregman Nonexpansive Operators in Banach Spaces. Nonlinear Analysis, Theory, Methods and Applications. 2012. Vol: 75. Núm: 14. Pág. 5448-5465. 10.1016/j.na.2012.04.048.
Bauschke, Heinz;Martin-Marquez, Victoria;Moffat, Sarah;Wang, Xianfu:
COMPOSITIONS AND CONVEX COMBINATIONS OF ASYMPTOTICALLY REGULAR FIRMLY NONEXPANSIVE MAPPINGS ARE ALSO ASYMPTOTICALLY REGULAR. Fixed Point Theory and Applications. 2012. Vol: 2012. 10.1186/1687-1812-2012-53.
López-Acedo, Genaro;Martin-Marquez, Victoria;Wang, Fenghui;Xu, Hong-kun:
Forward-Backward splitting methods for accretive operators in Banach spaces. Abstract and Applied Analysis. 2012. Vol: 2012. 10.1155/2012/109236.
Colao, Vittorio;López-Acedo, Genaro;Lopez, Genaro;Marino, Giuseppe;Martin-Marquez, Victoria:
EQUILIBRIUM PROBLEMS IN HADAMARD MANIFOLDS. Journal of Mathematical Analysis and Applications. 2012. Vol: 388. Núm: 1. Pág. 61-77. 10.1016/j.jmaa.2011.11.001.
Martin-Marquez, Victoria;Li-,Chong;López-Acedo, Genaro;Wang-,Jin:
RESOLVENTS OF SET-VALUED MONOTONE VECTOR FIELDS IN HADAMARD MANIFOLDS. Set-Valued and Variational Analysis. 2011. Vol: 19. Núm: 3. Pág. 361-383.
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. Vol: 18. Núm: 2. Pág. 465-487.
López-Acedo, Genaro;Li-,Chong;Martin-Marquez, Victoria:
ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN HADAMARD MANIFOLDS. Taiwanese Journal of Mathematics. 2010. Pág. 541-559.
López-Acedo, Genaro;Martin-Marquez, Victoria;Xu-, Hong Kun:
HALPERNS ITERATION FOR NONEXPANSIVE MAPPINGS. Contemporary Mathematics. 2010. Vol: 513. Pág. 211-231.
Li-,Chong;López-Acedo, Genaro;Martin-Marquez, Victoria;Wang-,Jin:
MONOTONE AND ACCRETIVE VECTOR FIELDS ON RIEMANNIAN MANIFOLDS. Journal of Optimization Theory and Applications. 2010. Vol: 146. Núm: 3. Pág. 691-708.
Xu-, Hong Kun;López-Acedo, Genaro;Martin-Marquez, Victoria:
PERTURBATION TECHNIQUES FOR NONEXPANSIVE MAPPINGS WITH APPLICATIONS. Nonlinear Analysis: Real World Applications. 2009. Vol: 10. Núm: 4. Pág. 2369-2383.
Martin-Marquez, Victoria:
NONEXPANSIVE MAPPINGS AND MONOTONE VECTOR FIELDS IN HADAMARD MANIFOLDS. Communications in Applied Analysis. 2009. Vol: 13. Núm: 4. Pág. 633-646.
López-Acedo, Genaro;Martin-Marquez, Victoria;Li-,Chong:
MONOTONE VECTOR FIELDS AND THE PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS. Journal of the London Mathematical Society. 2009. Vol: 2. Núm: 79. Pág. 663-683.