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Second order optimality conditions for bilevel set optimization problems

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  • S. Dempe
  • N. Gadhi

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  • S. Dempe & N. Gadhi, 2010. "Second order optimality conditions for bilevel set optimization problems," Journal of Global Optimization, Springer, vol. 47(2), pages 233-245, June.
    • Handle: RePEc:spr:jglopt:v:47:y:2010:i:2:p:233-245
    DOI: 10.1007/s10898-009-9468-1
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    References listed on IDEAS

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    1. S. Dempe, 1997. "First-Order Necessary Optimality Conditions for General Bilevel Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 735-739, December.
    2. S. Bolintinéanu & M. El Maghri, 1998. "Second-Order Efficiency Conditions and Sensitivity of Efficient Points," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 569-592, September.
    3. B. Aghezzaf & M. Hachimi, 1999. "Second-Order Optimality Conditions in Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 37-50, July.
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    Cited by:

    1. Abdelmalek Aboussoror & Samir Adly, 2018. "New necessary and sufficient optimality conditions for strong bilevel programming problems," Journal of Global Optimization, Springer, vol. 70(2), pages 309-327, February.
    2. N. Gadhi & S. Dempe, 2012. "Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 100-114, October.

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