| 非光滑半无限多目标优化问题的最优性充分条件 |
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| 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. |
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| 作者姓名： | 杨玉红 李飞 |
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| 作者单位： | 1内蒙古大学 数学科学学院, 呼和浩特 010021;2长江师范学院 数学与统计学院, 重庆 408100 |
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| 基金项目： | 国家自然科学基金(11431004 |
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| 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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| 关 键 词： | 半无限多目标优化 (弱)有效解 最优性条件 Clarke F-凸性 |
| 收稿时间： | 2017-01-10 |
Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems |
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| 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. |
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| Authors: | YANG Yu-hong LI Fei |
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| Affiliation: | 1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China;2School of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, P.R.China |
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| Abstract: | The nonsmooth semi-infinite multiobjective optimization problem (SIMOP) was addressed and its optimality conditions were discussed.First,the Clarke F-convexity hypothesis was imposed on some combinations of the objective functions and the constraint ftnctions,the sufficient optimality conditions for the (weakly) efficient solution to the SIMOP were estabfished.Next,the sufficient optimality conditions for the optimal solution to its scalar problem were obtained with the Chankong-Haimes method. |
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| Keywords: | semi-infinite multiobjective optimization (weakly) efficient solution optimality condition Clarke F-convexity |
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