Equivalent ε-efficiency notions in vector optimization

  1. C. Gutiérrez 1
  2. B. Jiménez 2
  3. V. Novo 2
  1. 1 Universidad de Valladolid, España
  2. 2 Universidad Nacional de Educación a Distancia, España
Revista:
Top

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

    • MTM2009-09493
    • Consolider-Ingenio 2010