| 可分距离空间中Benson真有效点的标量化 |
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| 引用本文： | 王璀.可分距离空间中Benson真有效点的标量化[J].苏州大学学报(医学版),2008,24(3):11-15. |
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| 作者姓名： | 王璀 |
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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： | 在可分距离空间的框架下给出了Benson真有效点的标量化定理，再把此定理运用于几乎次类凸集值映射向量优化问题中，得到Benson真有效解的标量化定理、Lagrange乘数定理和对偶性定理．
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| 关 键 词： | 可分距离空间 几乎次类凸集值映射 Benson真有效性 标量化 Lagrange乘数定理 对偶性 |
Scalarizations of Benson proper efficiency in separable metric space |
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| Wang Cui.Scalarizations of Benson proper efficiency in separable metric space[J].Journal of Suzhou University(Natural Science),2008,24(3):11-15. |
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| Authors: | Wang Cui |
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| Institution: | Wang Cui ( School of Mathematic Science, Suzhou Univ. , Suzhou 215006, China) |
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| Abstract: | In the framework of separable metric spaces,we give scalarization theorems on Benson proper efficiency. Applying the results to vector optimization problems with nearly subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier for Benson proper efficient solutions. |
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| Keywords: | separable metric spaces nearly subconvexlike set-valued maps Benson proper efficiency scalarization Lagrange multiplier theorem duality |
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