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非光滑半无限多目标优化问题的最优性充分条件

杨玉红 李飞

杨玉红, 李飞. 非光滑半无限多目标优化问题的最优性充分条件[J]. 应用数学和力学, 2017, 38(5): 526-538. doi: 10.21656/1000-0887.380012
引用本文: 杨玉红, 李飞. 非光滑半无限多目标优化问题的最优性充分条件[J]. 应用数学和力学, 2017, 38(5): 526-538. doi: 10.21656/1000-0887.380012
YANG Yu-hong, LI Fei. Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2017, 38(5): 526-538. doi: 10.21656/1000-0887.380012
Citation: YANG Yu-hong, LI Fei. Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2017, 38(5): 526-538. doi: 10.21656/1000-0887.380012

非光滑半无限多目标优化问题的最优性充分条件

doi: 10.21656/1000-0887.380012
基金项目: 国家自然科学基金(11431004; 11601248)
详细信息
    作者简介:

    杨玉红(1979—), 女, 讲师, 博士生(通讯作者. E-mail: yhyang1020@163.com);李飞(1981—), 男, 讲师, 博士(E-mail: lifeimath@163.com).

  • 中图分类号: O221.6

Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems

Funds: The National Natural Science Foundation of China(11431004;11601248)
  • 摘要: 研究了一个非光滑半无限多目标优化问题(简记为SIMOP),并讨论了它的最优性条件.首先, 通过对目标函数和约束函数的某种组合赋予Clarke F-凸性假设, 获得了SIMOP(弱)有效解的最优性充分条件.接下来, 用Chankong-Haimes方法建立了此SIMOP的一个标量问题并得到了这个标量问题的最优性充分条件.
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出版历程
  • 收稿日期:  2017-01-10
  • 修回日期:  2017-03-23
  • 刊出日期:  2017-05-15

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