| 对称弧式连通凸多目标半无限规划的对偶性 |
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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对偶性[J]. 安徽大学学报(自然科学版), 2010, 34(1) |
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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,应用数理系,陕西,西安710061 |
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| 基金项目： | 陕西省教育厅专项科研计划基金资助项目(08JK356) |
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| 摘 要： | 研究新函数在多目标半无限规划下的对偶性,以弧式连通函数和对称梯度为基础,利用解析方法,定义了一类新的弧式连通函数,即对称弧式连通函数、对称拟弧式连通函数、对称弱拟式连通函数、对称伪弧式连通函数、对称严格伪弧工连通函数,讨论了这些函数在多目标无限规划下的对偶性,并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 对偶性条件 |
Duality for symmetric arcwise-connected convex multiobjective semi-infinite programming |
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| ZHANG Lei-lei. Duality for symmetric arcwise-connected convex multiobjective semi-infinite programming[J]. Journal of Anhui University(Natural Sciences), 2010, 34(1) |
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| Authors: | ZHANG Lei-lei |
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| Affiliation: | Deparment of Applied Mathematics and Physics;Xi'an University of Post and Telecommunications;Xi'an 710061;China |
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| Abstract: | In the article,the duality conditions for nonsmooth multiobjective semi-infinite programming with new functions were studied.Symmetric arcwise-connected convex,symmetric quasi arcwise-connected conves,symmetric weak quasi arcwise-connected convex,symmetric pseudo arcwise-connected convex,strictly symmetric pseudo arcwise-connected convex were defined.Studied the duality conditions of these functions,and applied them on nonsmooth multiobjective semi-infinite programming. |
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| Keywords: | symmetric arcwise-connected convex function multiobjective semi-infinite programming duality conditions |
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