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A Quasiconvex Asymptotic Function with Applications in Optimization
| Indexado |
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| DOI | 10.1007/S10957-018-1317-2 | ||||
| Año | 2019 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. Finally, we apply our new definition to quasiconvex optimization problems: we characterize the boundedness of the function, and the nonemptiness and compactness of the set of minimizers. We also provide a sufficient condition for the closedness of the image of a nonempty closed and convex set via a vector-valued function.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Hadjisavvas, Nicolas | Hombre |
Univ Aegean - Grecia
King Fahd Univ Petr & Minerals - Arabia Saudí University of the Aegean - Grecia King Fahd University of Petroleum and Minerals - Arabia Saudí |
| 2 | LARA-OBREQUE, FELIPE | Hombre |
Universidad de Tarapacá - Chile
|
| 3 | Martinez-Legaz, J. E. | Hombre |
UNIV AUTONOMA BARCELONA - España
Barcelona Grad Sch Math BGSMath - España Universitat Autònoma de Barcelona - España Barcelona Graduate School of Mathematics (BGSMath) - España |
| 3 | Martínez-Legaz, Juan Enrique | Hombre |
Universitat Autònoma de Barcelona - España
Barcelona Graduate School of Mathematics (BGSMath) - España UNIV AUTONOMA BARCELONA - España Barcelona Grad Sch Math BGSMath - España |
| Fuente |
|---|
| Universidad de Concepción |
| Ministerio de Economía y Competitividad |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Comisión Nacional de Investigación Científica y Tecnológica |
| Comisión Nacional de Investigación CientÃfica y Tecnológica |
| Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica |
| Ministerio de EconomÃa y Competitividad |
| Fondo Nacional de Desarrollo CientÃfico, Tecnológico y de Innovación Tecnológica |
| Universidad de Concepción |
| MINECO of Spain |
| Conicyt-Chile under project Fondecyt Postdoctorado |
| Cooperacion Internacional of Conicyt-Chile through Fondecyt |
| Severo Ochoa Programme for Centres of Excellence in RD |
| Conicyt–Chile |
| Cooperación Internacional of Conicyt–Chile |
| Cooperación Internacional of Conicyt |
| Agradecimiento |
|---|
| Part of this research was carried out during a stay of the first author in the Departamento de Ingenieria Matematica of theUniversidad de Concepcion, Chile, supported in part by Cooperacion Internacional of Conicyt-Chile through Fondecyt 115-0973. The author wishes to thank the Department for its hospitality. For the second author, this research was partially supported by Conicyt-Chile under project Fondecyt Postdoctorado 3160205. Part of this work was carried out when the second author was visiting the Departament d'Economia i d'Historia Economica, Universitat Autonoma de Barcelona, Barcelona, Spain, during November of 2016. The author wishes to thank the Department for its hospitality. The third author was supported by the MINECO of Spain, Grant MTM2014-59179-C2-2-P, and by the Severo Ochoa Programme for Centres of Excellence in R&D [SEV-2015-0563]. He is affiliated with MOVE (Markets, Organizations and Votes in Economics). |
| Acknowledgements Part of this research was carried out during a stay of the first author in the Departa-mento de Ingeniería Matemática of the Universidad de Concepción, Chile, supported in part by Cooperación Internacional of Conicyt–Chile through Fondecyt 115-0973. The author wishes to thank the Department for its hospitality. For the second author, this research was partially supported by Conicyt–Chile under project Fondecyt Postdoctorado 3160205. Part of this work was carried out when the second author was visiting the Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, Barcelona, Spain, during November of 2016. The author wishes to thank the Department for its hospitality. The third author was supported by the MINECO of Spain, Grant MTM2014-59179-C2-2-P, and by the Severo Ochoa Programme for Centres of Excellence in R&D [SEV-2015-0563]. He is affiliated with MOVE (Markets, Organizations and Votes in Economics). |
