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Optimality Conditions and Lagrange Duality for Vector Extremum Problems with Set Constraint

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  • Z. M. Li

    (Chongqing University)

  • M. H. Zhan

    (Chongqing University)

Abstract

The necessary and sufficient optimality conditions for vector extremum problems with set constraint in an ordered linear topological space are given. Finally, Lagrange duality is established.

Suggested Citation

  • Z. M. Li & M. H. Zhan, 2007. "Optimality Conditions and Lagrange Duality for Vector Extremum Problems with Set Constraint," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 323-332, December.
    • Handle: RePEc:spr:joptap:v:135:y:2007:i:3:d:10.1007_s10957-007-9267-0
    DOI: 10.1007/s10957-007-9267-0
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    References listed on IDEAS

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    1. Z. Li, 1999. "A Theorem of the Alternative and Its Application to the Optimization of Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 100(2), pages 365-375, February.
    2. D. T. Luc & S. Schaible, 1997. "Efficiency and Generalized Concavity," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 147-153, July.
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    Cited by:

    1. Phan Thien Thach, 2021. "Symmetric Duality for Homogeneous Multiple-Objective Problems," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 317-331, February.

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