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Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
| Indexado |
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| DOI | 10.1007/S10898-017-0542-9 | ||||
| Año | 2017 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a new class of quasiconvex problems having zero duality gap or closedness of images of vector mappings associated to those problems. Such conditions are described for the classes of linear fractional functions and that of quadratic ones. In addition, some applications to nonconvex quadratic optimization problems under a single inequality or equality constraint, are presented, providing new results for the fulfillment of zero duality gap or dual strong-duality.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | FLORES-BAZAN, FABIAN | Hombre |
Universidad de Concepción - Chile
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| 2 | Echegaray, William | Hombre |
Univ Nacl Ingn - Perú
Universidad Nacional de Ingenieria, Lima - Perú |
| 3 | Flores-Bazan, Fernando | Hombre |
Universidad del Bío Bío - Chile
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| 4 | Ocana, Eladio | Hombre |
Univ Nacl Ingn - Perú
Universidad Nacional de Ingenieria, Lima - Perú |
| Fuente |
|---|
| Universidad de Concepción |
| Universidad de Chile |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| FONDECYT (Chile) |
| Center on the Microenvironment and Metastasis, Cornell University |
| Programa Nacional de Innovacion para la Competitividad y Productividad (Innovate Peru) |
| Basal Project, CMM, Universidad de Chile |
| FONDECYT (Peru) |
| Programa Nacional de Innovación para la Competitividad y Productividad |
| Agradecimiento |
|---|
| The research for the first author was supported by the Programa Nacional de Innovacion para la Competitividad y Productividad (Innovate Peru), under contract 013-INNOVATEPERU-ECIP-2016, and was carried out partially while he was visiting IMCA-UNI during 2016. He is grateful for the hospitality of its members. The research material of this work was also supported in part by FONDECYT 115-0973 (Chile) and Basal project, CMM, Universidad de Chile, for the first author; whereas the fourth author was supported by FONDECYT 182-2015 (Peru), and part of his research was carried out while visited University of Concepcion. The authors want to express their gratitude to the referee for his/her careful reading of the manuscript and criticism, which were taken into account in the present version. |
| Acknowledgements The research for the first author was supported by the Programa Nacional de Innovación para la Competitividad y Productividad (Innóvate Perú), under contract 013-INNOVATEPERU-ECIP-2016, and was carried out partially while he was visiting IMCA-UNI during 2016. He is grateful for the hospitality of its members. The research material of this work was also supported in part by FONDECYT 115-0973 (Chile) and Basal project, CMM, Universidad de Chile, for the first author; whereas the fourth author was supported by FONDECYT 182-2015 (Perú), and part of his research was carried out while visited University of Concepcion. The authors want to express their gratitude to the referee for his/her careful reading of the manuscript and criticism, which were taken into account in the present version. |
