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Ficha personal - Victoria Martin Marquez


Victoria Martin Marquez
Telefono: 57987
Email: Solicitar correo
Perfil en ORCID: 0000-0002-8963-9825

Grupo de Investigación: Análisis Funcional no Lineal
Departamento/Unidad: Análisis Matemático
Situación profesional: Profesora Contratada Doctora

Responsable de los siguientes proyectos/ayudas en la US:

  • Plan Propio:
    • Ayuda para estancia Representación de operadores monótonos en espacios de Banach. Aplicaciones en Optimización y Análisis Variacional (PP2013-1518)

Participa en los siguientes proyectos/ayudas en la US:

  • Proyectos:
    • Aplicaciones del Análisis Funcional a la Resolución de Problemas no Lineales, en Optimización Convexa y a la Lineabilidad (MTM2015-65242-C2-1-P - Equipo de Investigación)
    • Aplicaciones del Análisis Funcional a la Resolución de Ecuaciones no Lineales, Problemas de Optimización y Ciclicida (MTM2012-34847-C02-01 - Investigador)
    • Operadores no expansivos, monótonos, acretivos y ciclicos: aplicaciones (MTM2009-10696-C02-01 - Investigador)
    • Análisis Matemático (P08-FQM-03543 - Otro Investigador)
    • Análisis Matemático (EXC/2005/FQM-627 - Investigador)

  • Ayudas:
    • Incentivo al Grupo de Investigación FQM-127 (2011/FQM-127 - Investigador)
    • Incentivo al Grupo de Investigación FQM-127 (2010/FQM-127 - Investigador)
    • Ayuda a la Consolidación del Grupo de Investigación FQM-127 (2009/FQM-127 - Investigador)

Cobertura de la base de datos de proyectos, véase aqui


Publicaciones:

Libros
Martin Marquez, Victoria:
Fixed Point Approximation Methods for Nonexpansive Mappings: Optimization Problems. Santander (ESPAÑA). Vicerrectorado de Postgrado y Doctorado de la Universidad de Sevilla. 2010. ISBN 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. Vol. 50. Pag. 501-521. En: Computational and Analytical Mathematics. Springer. 2013. ISBN 978-1-4614-7620-7

López Acedo, Genaro, Martin Marquez, Victoria:
Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds. Vol. 49. Pag. 273-299. En: Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Nueva York, Estados Unidos. Springer. 2011

López Acedo, Genaro, Martin Marquez, Victoria, Xu, Hong:
Iterative Algorithms for the Multiple-Sets Split Feasibility Problem. Pag. 243-280. En: Promising Directions in Imaging, Therapy Planning and Inverse Problems. Wiscosin. Medical Physics Publishing. 2010. ISBN 978-1-930524-48-4

Publicaciones en Revistas
Burachik, Regina, Martin Marquez, Victoria:
An approach for the convex feasibility problem via Monotropic Programming. En: Journal of Mathematical Analysis and Applications. 2017. Vol. 453. Núm. 2. Pag. 746-760. 10.1016/j.jmaa.2017.04.023

Ariza Ruiz, David, López Acedo, Genaro, Martin Marquez, Victoria:
Firmly nonexpansive mappings. En: Journal of Nonlinear and Convex Analysis. 2014. Vol. 15. Núm. 4. Pag. 61-87

Ariza Ruiz, David, López Acedo, Genaro, Martin Marquez, Victoria:
Firmly nonexpansive mappings. En: Journal of Nonlinear and Convex Analysis. 2014. Vol. 15. Núm. 1. Pag. 61-87

Aragón Artacho, Francisco, Borwein, Jonathan, Martin Marquez, Victoria, Yao, Liangjin:
Applications of convex Analysis within Mathematics. En: 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. En: Discrete and Continuous Dynamical Systems. Series S. 2013. Vol. 6. Núm. 4. Pag. 1043-1063. 10.3934/dcdss.2013.6.1043

Martin Marquez, Victoria, Reich, Simeon, Sabach, Shoham:
Bregman strongly nonexpansive operators in reflexive Banach spaces. En: Journal of Mathematical Analysis and Applications. 2013. Vol. 400. Núm. 2. Pag. 597-614. 10.1016/j.jmaa.2012.11.059

Colao, Vittorio, Lopez, Genaro, López Acedo, Genaro, Marino, Giuseppe, Martin Marquez, Victoria:
Equilibrium Problems in Hadamard Manifolds. En: Journal of Mathematical Analysis and Applications. 2012. Vol. 388. Núm. 1. Pag. 61-77. 10.1016/j.jmaa.2011.11.001

López Acedo, Genaro, Martin Marquez, Victoria, Wang, Fenghui, Xu, Hong Kun:
Forward-Backward splitting methods for accretive operators in Banach spaces. En: Abstract and Applied Analysis. 2012. Vol. 2012. 10.1155/2012/109236

Martin Marquez, Victoria, Reich, Simeon, Sabach, Shoham:
Right Bregman Nonexpansive Operators in Banach Spaces. En: Nonlinear Analysis, Theory, Methods and Applications. 2012. Vol. 75. Núm. 14. Pag. 5448-5465. 10.1016/j.na.2012.04.048

López Acedo, Genaro, Martin Marquez, Victoria, Wang, Fenghui, Xu, Hong Kun:
Solving the split feasibility problem without prior knowledge of matrix norms. En: Inverse problems. 2012. Vol. 28. Núm. 8. Pag. 1-18. 10.1088/0266-5611/28/8/085004

Bauschke, Heinz, Martin Marquez, Victoria, Moffat, Sarah, Wang, Xianfu:
Compositions and Convex Combinations of Asymptotically Regular Firmly Nonexpansive Mappings Are Also Asymptotically Regular. En: Fixed Point Theory and Applications. 2012. Vol. 2012. 10.1186/1687-1812-2012-53

Martin Marquez, Victoria, Li, Chong, López Acedo, Genaro, Wang, Jin:
Resolvents of Set-Valued Monotone Vector Fields in Hadamard Manifolds. En: Set-Valued and Variational Analysis. 2011. Vol. 19. Núm. 3. Pag. 361-383

Colao, Vittorio, Leustean, Laurentiu, López Acedo, Genaro, Martin Marquez, Victoria:
Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications. En: Journal of Convex Analysis. 2011. Vol. 18. Núm. 2. Pag. 465-487

Li, Chong, López Acedo, Genaro, Martin Marquez, Victoria, Wang, Jin:
Monotone and Accretive Vector Fields on Riemannian Manifolds. En: Journal of Optimization Theory and Applications. 2010. Vol. 146. Núm. 3. Pag. 691-708

López Acedo, Genaro, Li, Chong, Martin Marquez, Victoria:
Iterative Algorithms for Nonexpansive Mappings in Hadamard Manifolds. En: Taiwanese Journal of Mathematics. 2010. Pag. 541-559

López Acedo, Genaro, Martin Marquez, Victoria, Xu, Hong Kun:
Halperns Iteration for Nonexpansive Mappings. En: Contemporary Mathematics. 2010. Vol. 513. Pag. 211-231

López Acedo, Genaro, Martin Marquez, Victoria, Li, Chong:
Monotone Vector Fields and the Proximal Point Algorithm on Hadamard Manifolds. En: Journal of the London Mathematical Society. 2009. Vol. 2. Núm. 79. Pag. 663-683

Xu, Hong Kun, López Acedo, Genaro, Martin Marquez, Victoria:
Perturbation Techniques for Nonexpansive Mappings With Applications. En: Nonlinear Analysis: Real World Applications. 2009. Vol. 10. Núm. 4. Pag. 2369-2383

Martin Marquez, Victoria:
Nonexpansive Mappings and Monotone Vector Fields in Hadamard Manifolds. En: Communications in Applied Analysis. 2009. Vol. 13. Núm. 4. Pag. 633-646

Aportaciones a Congresos
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 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:
Split Feasibility Problem: recent advances and applications in signal processing. Ponencia en Congreso. IV Workshop on Metric Fixed Point Theory. 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 firmly nonexpansive mappings. Ponencia en Congreso. X International Conference in Fixed Point Theory and Applications. Cluj-Napoca, Romania. 2012

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:
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:
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:
On iterative methods for solving convex feasibility problems and applications. Ponencia de Seminario. CARMA Seminar. Universidad de Newcastle, Australia. 2012

Martin Marquez, Victoria:
Nuevos avances en problemas de viabilidad convex y aplicaciones en procesamiento de señales. Ponencia de Seminario. Seminario del Departamento de Matemática y Física Aplicadas. Concepción, Chile. 2012

Martin Marquez, Victoria:
Right Bregman Nonexpansive operators in Banach spaces. Ponencia de Seminario. CARMA OANT Seminar. Universidad de Newcastle, Australia. 2012

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:
Approximation methods for convex feasibility problems. Comunicación en congreso. XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA). Palma de Mallorca. 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:
Approximating solutions to the split feasibility problem without prior knowledge of operator norms. Ponencia de Seminario. Nonlinear Analysis and Optimization Seminar, Technion - Israel Institute of Technology. Haifa, Israel. 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:
Split feasibility problem: recent advances and applications in signal processing. Ponencia de Seminario. Colloquium of Department of Mathematics, University of Haifa. Haifa, Israel. 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:
Accretive vector fields on Riemannian manifolds. Ponencia en Congreso. Workshop on Metric Fixed Point Theory. Alajar, Huelva. 2010

Martin Marquez, Victoria:
Recent advances in nonexpansive and monotone operator theory in Hadamard manifolds. Ponencia de Seminario. SIGMAOPT seminar series. University of South Australi. Adelaida, Australia. 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:
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:
Equilibrium problems in Hadamard manifolds. Ponencia en Congreso. Second South Pacific Conference onMathematics. 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:
Recent advances in nonexpansive and monotone operator theory in Hadamard manifolds. Ponencia de Seminario. Research weekly seminar. Centre de Recerca Matematica (CRM). Barcelona (España). 2010

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 methods for the Multiple-Sets Split Feasibility Problem. Ponencia de Seminario. Ocana Seminar series, University of British Columbia Okanagan. Kelowna; 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:
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:
Peturbation Techniques for Nonexpansive Mappings and Applications. Comunicación en congreso. IV Encuentro de Análisis Funcional y Aplicaciones. Salobreña (Granada), 2 al 5 de Abril. 2008

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:
Monotone vector fields on Hadamard manifolds. Comunicación en congreso. Functional Analysis: Methods and Applications. Cosenza, Italia. 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 Problems. 2008

Vicerrectorado de Investigación. Universidad de Sevilla. Pabellón de Brasil. Paseo de las Delicias s/n. Sevilla