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Stability of semi-infinite vector optimization problems under functional perturbations

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  • T. Chuong
  • N. Huy
  • J. Yao

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  • T. Chuong & N. Huy & J. Yao, 2009. "Stability of semi-infinite vector optimization problems under functional perturbations," Computational Optimization and Applications, Springer, vol. 45(4), pages 583-595, December.
    • Handle: RePEc:spr:coopap:v:45:y:2009:i:4:p:583-595
    DOI: 10.1007/s10898-008-9391-x
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    References listed on IDEAS

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    1. Goberna, M.A. & Gomez, S. & Guerra, F. & Todorov, M.I., 2007. "Sensitivity analysis in linear semi-infinite programming: Perturbing cost and right-hand-side coefficients," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1069-1085, September.
    2. S. W. Xiang & W. S. Yin, 2007. "Stability Results for Efficient Solutions of Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 134(3), pages 385-398, September.
    3. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Amos Uderzo, 2023. "Conditions for the stability of ideal efficient solutions in parametric vector optimization via set-valued inclusions," Journal of Global Optimization, Springer, vol. 85(4), pages 917-940, April.
    2. Thai Chuong & Jen-Chih Yao, 2013. "Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization," Journal of Global Optimization, Springer, vol. 57(4), pages 1229-1243, December.
    3. Thai Doan Chuong & Do Sang Kim, 2014. "Nonsmooth Semi-infinite Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 160(3), pages 748-762, March.
    4. N. Q. Huy & J.-C. Yao, 2011. "Semi-Infinite Optimization under Convex Function Perturbations: Lipschitz Stability," Journal of Optimization Theory and Applications, Springer, vol. 148(2), pages 237-256, February.
    5. Shiva Kapoor & C. S. Lalitha, 2019. "Stability in unified semi-infinite vector optimization," Journal of Global Optimization, Springer, vol. 74(2), pages 383-399, June.
    6. Thai Doan Chuong, 2013. "Derivatives of the Efficient Point Multifunction in Parametric Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 247-265, February.
    7. 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.
    8. T. D. Chuong & J. C. Yao, 2010. "Generalized Clarke Epiderivatives of Parametric Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 146(1), pages 77-94, July.
    9. Zai-Yun Peng & Jian-Wen Peng & Xian-Jun Long & Jen-Chih Yao, 2018. "On the stability of solutions for semi-infinite vector optimization problems," Journal of Global Optimization, Springer, vol. 70(1), pages 55-69, January.
    10. N. Huy & D. Kim, 2013. "Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems," Journal of Global Optimization, Springer, vol. 56(2), pages 431-448, June.
    11. Goberna, M.A. & Guerra-Vazquez, F. & Todorov, M.I., 2016. "Constraint qualifications in convex vector semi-infinite optimization," European Journal of Operational Research, Elsevier, vol. 249(1), pages 32-40.
    12. Goberna, M.A. & Guerra-Vazquez, F. & Todorov, M.I., 2013. "Constraint qualifications in linear vector semi-infinite optimization," European Journal of Operational Research, Elsevier, vol. 227(1), pages 12-21.
    13. T. Chuong & A. Kruger & J.-C. Yao, 2011. "Calmness of efficient solution maps in parametric vector optimization," Journal of Global Optimization, Springer, vol. 51(4), pages 677-688, December.

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