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Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

Author

Listed:
  • Duong Thi Kim Huyen

    (Phenikaa University)

  • Do Sang Kim

    (Pukyong National University)

  • Nguyen Dong Yen

    (Vietnam Academy of Science and Technology)

Abstract

First-order sufficient optimality conditions in terms of Lagrangian functions and Lagrange multipliers for nondifferentiable minimax programs and vector optimization problems in an Asplund space setting are obtained in this paper. Two illustrative examples are given. Our results implement the first-order necessary optimality conditions of Chuong and Kim (Ann Oper Res 251:73–87, 2017).

Suggested Citation

  • Duong Thi Kim Huyen & Do Sang Kim & Nguyen Dong Yen, 2024. "Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 200(2), pages 703-723, February.
    • Handle: RePEc:spr:joptap:v:200:y:2024:i:2:d:10.1007_s10957-023-02366-2
    DOI: 10.1007/s10957-023-02366-2
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    References listed on IDEAS

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    1. Zhe Hong & Kwan Deok Bae & Do Sang Kim, 2022. "Minimax programming as a tool for studying robust multi-objective optimization problems," Annals of Operations Research, Springer, vol. 319(2), pages 1589-1606, December.
    2. Thai Doan Chuong & Do Sang Kim, 2017. "Nondifferentiable minimax programming problems with applications," Annals of Operations Research, Springer, vol. 251(1), pages 73-87, April.
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    Cited by:

    1. Nguyen Tuyen & Kwan Deok Bae & Do Sang Kim, 2025. "Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications," Journal of Optimization Theory and Applications, Springer, vol. 205(2), pages 1-22, May.

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