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Strong Duality for Proper Efficiency in Vector Optimization

  • P. H. Sach
  • D. S. Kim
  • G. M. Lee
Technical Note

Abstract

In this paper, we give counterexamples showing that the strong duality results obtained in Refs. 1–5 for several dual problems of multiobjective mathematical programs are false. We provide also the conditions under which correct results can be established.

Keywords

Multiobjective programs properly efficient points duality 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • P. H. Sach
    • 1
  • D. S. Kim
    • 2
  • G. M. Lee
    • 2
  1. 1.Institute of MathematicsHanoiVietnam
  2. 2.Department of Applied MathematicsPukyong National UniversityPusanRepublic of Korea

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