| 赋范线性空间中锥拟凸向量优化问题超有效解集的连通性 |
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| 引用本文： | 凌晨.赋范线性空间中锥拟凸向量优化问题超有效解集的连通性[J].数学研究及应用,2002,22(1):103-106. |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 浙江财经学院统计运筹系,浙江,杭州,310012 |
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| 摘 要： | 本文研究赋范线性空间中集值映射向量优化问题超有效解集的连通性问题．证明了目标映射为锥拟凸的向量优化问题的超有效解集是连通的．
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| 关 键 词： | 量优化 超有效解 锥拟凸 连通性 |
| 文章编号： | 1000-341X(2002)01-0103-04 |
| 收稿时间： | 1999/4/26 0:00:00 |
| 修稿时间： | 1999年4月26日 |
Connectedness of Super Efficient Solution Set of Cone Quasiconvex Vector Optimization in Normed Linear Space |
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| LING-chen.Connectedness of Super Efficient Solution Set of Cone Quasiconvex Vector Optimization in Normed Linear Space[J].Journal of Mathematical Research with Applications,2002,22(1):103-106. |
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| Authors: | LING-chen |
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| Institution: | Dept of Stat. Oper. Rese.; Zhejiang Institute of Finance and Economics; Hangzhou; China |
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| Abstract: | In this paper, we study the connectedness of super efficient solution sets for set-valued mapping vector optimization in normed linear space. Under the condition that the objective mapping is cone quasiconvex, we prove the connectedness of the set of super efficient solutions to vector optimization. |
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| Keywords: | vector optimization super efficient solution cone quasiconvex connectedness |
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