| 向量优化问题的对偶性(英文) |
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| 引用本文： | 黄龙光.向量优化问题的对偶性(英文)[J].数学季刊,2012(1):133-138. |
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| 作者姓名： | 黄龙光 |
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| 作者单位： | School of Sciences,Jimei University |
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| 基金项目： | Supported by the Natural Science Foundation of Fujian Province(S0650021) |
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| 摘 要： | Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function.The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied.A general approach for studying duality in vector optimization problems is presented.
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| 关 键 词： | duality efficient solution composed convex optimization K-convex mapping |
The Duality on Vector Optimization Problems |
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| HUANG Long-guang.The Duality on Vector Optimization Problems[J].Chinese Quarterly Journal of Mathematics,2012(1):133-138. |
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| Authors: | HUANG Long-guang |
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| Institution: | HUANG Long-guang (School of Sciences,Jimei University,Xiamen 361021,China) |
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| Abstract: | Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function.The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied.A general approach for studying duality in vector optimization problems is presented. |
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| Keywords: | duality efficient solution composed convex optimization K-convex mapping |
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