| 局部凸拓扑向量空间中的向量变分不等式与集值优化 |
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| 引用本文： | 顾莹燕.局部凸拓扑向量空间中的向量变分不等式与集值优化[J].苏州大学学报(医学版),2004,20(3):20-25. |
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| 作者姓名： | 顾莹燕 |
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| 作者单位： | 苏州大学数学科学学院 江苏苏州 215006 |
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| 摘 要： | 利用与仿射上导数相关的向量变分不等式的真有效性,对局部凸拓扑向量空间中的集值优化问题的Henig有效性、超有效性、锥超有效性等给出了一些充分、必要条件,从而推广了一些已知的相关结论.
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| 关 键 词： | 集值优化 上导数 向量变分不等式 真有效性 |
Vector variational inequality and set-valued optimization in a locally convex topological vector space |
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| Abstract.Vector variational inequality and set-valued optimization in a locally convex topological vector space[J].Journal of Suzhou University(Natural Science),2004,20(3):20-25. |
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| Authors: | Abstract |
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| Abstract: | By using the vector variational inequality related to radial epiderivative,we give a number of necessary and sufficient conditions for Henig efficiency,super efficiency and cone-super efficiency of set-valued optimization under the framework of locally convex topological vector spaces,which generalizes some known related results. |
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| Keywords: | set-valued optimization epiderivative vector variational inequality proper efficiency |
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