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Mathematical programs with vanishing constraints: critical point theory

Author

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  • Dominik Dorsch
  • Vladimir Shikhman
  • Oliver Stein

Abstract

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Suggested Citation

  • Dominik Dorsch & Vladimir Shikhman & Oliver Stein, 2012. "Mathematical programs with vanishing constraints: critical point theory," Journal of Global Optimization, Springer, vol. 52(3), pages 591-605, March.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:3:p:591-605
    DOI: 10.1007/s10898-011-9805-z
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    Citations

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    Cited by:

    1. S. Lämmel & V. Shikhman, 2022. "On nondegenerate M-stationary points for sparsity constrained nonlinear optimization," Journal of Global Optimization, Springer, vol. 82(2), pages 219-242, February.
    2. Tamanna Yadav & S. K. Gupta & Sumit Kumar, 2024. "Optimality analysis and duality conditions for a class of conic semi-infinite program having vanishing constraints," Annals of Operations Research, Springer, vol. 340(2), pages 1091-1123, September.
    3. Balendu Bhooshan Upadhyay & Arnav Ghosh, 2023. "On Constraint Qualifications for Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 199(1), pages 1-35, October.
    4. Tadeusz Antczak, 2022. "Optimality conditions and Mond–Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints," 4OR, Springer, vol. 20(3), pages 417-442, September.
    5. Qingjie Hu & Jiguang Wang & Yu Chen, 2020. "New dualities for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 287(1), pages 233-255, April.
    6. Le Thanh Tung, 2022. "Karush–Kuhn–Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints," Annals of Operations Research, Springer, vol. 311(2), pages 1307-1334, April.
    7. Tadeusz Antczak, 2023. "On directionally differentiable multiobjective programming problems with vanishing constraints," Annals of Operations Research, Springer, vol. 328(2), pages 1181-1212, September.

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