Farkas-Type Results for Vector-Valued Functions with Applications
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http://hdl.handle.net/10045/65570
| Title: | Farkas-Type Results for Vector-Valued Functions with Applications |
|---|---|
| Authors: | Dinh, Nguyen | Goberna, Miguel A. | López Cerdá, Marco A. | Mo, Tran Hong |
| Research Group/s: | Laboratorio de Optimización (LOPT) |
| Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
| Keywords: | Farkas-type theorems | Vector optimization | Weak solutions | Vector variational inequalities | Vector equilibrium problems |
| Knowledge Area: | Estadística e Investigación Operativa |
| Issue Date: | May-2017 |
| Publisher: | Springer Science+Business Media New York |
| Citation: | Journal of Optimization Theory and Applications. 2017, 173(2): 357-390. doi:10.1007/s10957-016-1055-2 |
| Abstract: | The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space defined by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including multiobjective and scalar ones), vector variational inequalities, and vector equilibrium problems. |
| Sponsor: | This research was partially supported by MINECO of Spain and FEDER of EU, Grant MTM2014-59179-C2-1-P, by the project DP160100854 from the Australian Research Council, and by the project B2015-28-04: “A new approach to some classes of optimization problems” from the Vietnam National University - HCM city, Vietnam. |
| URI: | http://hdl.handle.net/10045/65570 |
| ISSN: | 0022-3239 (Print) | 1573-2878 (Online) |
| DOI: | 10.1007/s10957-016-1055-2 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | © Springer Science+Business Media New York 2017. The final publication is available at Springer via http://dx.doi.org/10.1007/s10957-016-1055-2 |
| Peer Review: | si |
| Publisher version: | http://dx.doi.org/10.1007/s10957-016-1055-2 |
| Appears in Collections: | INV - LOPT - Artículos de Revistas |
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| File | Description | Size | Format | |
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 2017_Dinh_etal_JOptimTheoryAppl_final.pdf | Versión final (acceso restringido) | 478,26 kB | Adobe PDF | Open Request a copy |
 2017_Dinh_etal_JOptimTheoryAppl_preprint.pdf | Preprint (acceso abierto) | 1,13 MB | Adobe PDF | Open Preview |
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