| 对称弧式连通凸多目标半无限规划的最优性 |
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| 引用本文： | 张蕾蕾.对称弧式连通凸多目标半无限规划的最优性[J].数学的实践与认识,2009,39(21). |
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| 作者姓名： | 张蕾蕾 |
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| 作者单位： | 西安邮电学院数理系,陕西,西安,710121 |
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| 摘 要： | 以弧式连通函数和对称梯度为基础,研究新函数在多目标半无限规划下的最优性理论.定义了一类新的弧式连通函数,对称弧式连通函数、对称拟弧式连通函数、对称弱拟弧式连通函数、对称伪弧式连通函数、对称严格伪弧式连通函数,讨论了这些函数在多目标半无限规划下的最优性.给出更加广义的弧式连通函数,将它们运用到多目标半无限规划.
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| 关 键 词： | 对称弧式连通凸函数 多目标半无限规划 最优性条件 |
Optimal ity for Symmetric Arcwise-connected Convex Multiobjective Semi-infinite Programming |
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| ZHANG Lei-lei.Optimal ity for Symmetric Arcwise-connected Convex Multiobjective Semi-infinite Programming[J].Mathematics in Practice and Theory,2009,39(21). |
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| Authors: | ZHANG Lei-lei |
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| Abstract: | To study the optimality conditions for nonsmooth multiobjective semi-infinite programming with new functions. Symmetric arcwise-connected convex, symmetric quasi arcwise-connected convex, symmetric weak quasi arcwise-connected convex, symmetric pseudo arcwise-connected convex, strictly symmetric pseudo arcwise-connected convex were defined. Study the optimality conditions for nonsmooth multiobjective semi-infinite programming with these functions. |
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| Keywords: | symmetric arcwise-connected convex function multiobjective semi-infinite programming optimality conditions |
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