| 锥上半连续集值映射多目标优化问题超有效解集的连通性 |
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| 引用本文： | 旷华武.锥上半连续集值映射多目标优化问题超有效解集的连通性[J].贵州大学学报(自然科学版),2006,23(1):1-5. |
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| 作者姓名： | 旷华武 |
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| 作者单位： | 贵州大学,理学院数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省科技厅基金课题No2003301 |
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| 摘 要： | 研究集值映射多目标优化问题超有效解集的连通性,在目标映射为锥上半连续和锥弱近似拟凸的条件下,应用广义凸性研究中的一些结论,证明了超有效解集是连通的。
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| 关 键 词： | 集值映射 超有效解 连通 基 |
| 文章编号： | 1000-5269（2006）01-0001-005 |
| 收稿时间： | 2005-12-25 |
| 修稿时间： | 2005年12月25 |
Connectedness of the Super Efficient Solution Sets of Multiobjective Optimization Problems with Cone Upper Wemicontinuous Set-valued Mapping |
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| KUANG Huawu.Connectedness of the Super Efficient Solution Sets of Multiobjective Optimization Problems with Cone Upper Wemicontinuous Set-valued Mapping[J].Journal of Guizhou University(Natural Science),2006,23(1):1-5. |
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| Authors: | KUANG Huawu |
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| Institution: | Dept. of Math. , Guizhou University. , Guiyang 550025, China |
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| Abstract: | We study the connectedness of the super efficient solution sets of multiobjective optimization with set-valued mapping.The connectedness are established for multiobjective optimization with cone upper semicontinuous and cone weak nearly quasiconvex set-valued mapping by applying some results in the study of generalized convexity. |
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| Keywords: | Set-valued mapping Super efficient solution Connectedness Base |
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