Equivalent ε-efficiency notions in vector optimization
- C. Gutiérrez 1
- B. Jiménez 2
- V. Novo 2
- 1 Universidad de Valladolid, España
- 2 Universidad Nacional de Educación a Distancia, España
ISSN: 1863-8279, 1134-5764
Año de publicación: 2012
Volumen: 20
Número: 2
Páginas: 437-455
Tipo: Artículo
Otras publicaciones en: Top
Resumen
In this work we show some relations between ε-efficiency sets obtained through well-known approximate solution concepts of vector optimization problems. In particular, we prove that various of these concepts are equivalent, in the sense that they give the same ε-efficiency sets by choosing suitable parameters. The obtained results are illustrated in the Pareto context.
Información de financiación
Acknowledgements This research was partially supported by the Ministerio de Ciencia e Inno-vación (Spain) under projects MTM2009-09493 and Ingenio Mathematica (i-MATH) CSD2006-00032 (Consolider-Ingenio 2010). The authors are grateful to the anonymous referees for their helpful comments and suggestions.Financiadores
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- MTM2009-09493
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- Consolider-Ingenio 2010