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Strong Duality for Proper Efficiency in Vector Optimization

Author

Listed:
  • P. H. Sach

    (Institute of Mathematics)

  • D. S. Kim

    (Pukyong National University)

  • G. M. Lee

    (Pukyong National University)

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.

Suggested Citation

  • P. H. Sach & D. S. Kim & G. M. Lee, 2006. "Strong Duality for Proper Efficiency in Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 139-151, July.
    • Handle: RePEc:spr:joptap:v:130:y:2006:i:1:d:10.1007_s10957-006-9094-8
    DOI: 10.1007/s10957-006-9094-8
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    References listed on IDEAS

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    1. M. H. Kim & G. M. Lee, 2001. "On Duality Theorems for Nonsmooth Lipschitz Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 669-675, September.
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    Cited by:

    1. Thai Doan Chuong & Jen-Chih Yao, 2014. "Isolated and Proper Efficiencies in Semi-Infinite Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 447-462, August.

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