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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:
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

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

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

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

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

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

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

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:
Right Bregman Nonexpansive operators in Banach spaces. Ponencia de Seminario. CARMA OANT 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:
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:
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:
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:
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:
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:
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:
Approximation methods for convex feasibility problems. Comunicación en congreso. XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA). Palma de Mallorca. 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:
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:
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:
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

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

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