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Essential Component and Essential Optimum Solution of Optimization Problems

Author

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  • Q. Luo

    (Guizhou Normal University)

Abstract

In this note, the concept of essential component of optimum solutions is introduced. We obtain necessary and sufficient conditions for the existence of one essential component or one essential optimum solution in the optimum solution set of the optimization problems.

Suggested Citation

  • Q. Luo, 1999. "Essential Component and Essential Optimum Solution of Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 433-438, August.
    • Handle: RePEc:spr:joptap:v:102:y:1999:i:2:d:10.1023_a:1021740709876
    DOI: 10.1023/A:1021740709876
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    Cited by:

    1. Zhou, Yong-Hui & Yu, Jian & Xiang, Shu-Wen & Wang, Long, 2009. "Essential stability in games with endogenous sharing rules," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 233-240, March.
    2. Shiva Kapoor & C. S. Lalitha, 2021. "Essential stability in unified vector optimization," Journal of Global Optimization, Springer, vol. 80(1), pages 161-175, May.
    3. Q. Q. Song & G. Q. Tang & L. S. Wang, 2013. "On Essential Stable Sets of Solutions in Set Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 591-599, March.

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