caa a22 4500 463168747 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10957-007-9191-3 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9191-3 Optimality Conditions for Metrically Consistent Approximate Solutions in Vector Optimization [Elektronische Daten] [C. Gutiérrez, B. Jiménez, V. Novo] In this paper, approximate solutions of vector optimization problems are analyzed via a metrically consistent ε-efficient concept. Several properties of the ε-efficient set are studied. By scalarization, necessary and sufficient conditions for approximate solutions of convex and nonconvex vector optimization problems are provided; a characterization is obtained via generalized Chebyshev norms, attaining the same precision in the vector problem as in the scalarization. Springer Science+Business Media, LLC, 2007 Vector optimization nationallicence ε -Efficiency nationallicence Scalarization nationallicence Gauge functionals nationallicence Generalized Chebyshev norms nationallicence Gutiérrez C. Departamento de Matemática Aplicada, Universidad de Valladolid, Valladolid, Spain aut Jiménez B. Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Madrid, Spain aut Novo V. Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Madrid, Spain aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 49-64 0022-3239 133:1<49 2007 133 10957 https://doi.org/10.1007/s10957-007-9191-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9191-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gutiérrez C. Departamento de Matemática Aplicada, Universidad de Valladolid, Valladolid, Spain aut NATIONALLICENCE 700 1- Jiménez B. Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Madrid, Spain aut NATIONALLICENCE 700 1- Novo V. Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Madrid, Spain aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 49-64 0022-3239 133:1<49 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer