| 向量优化问题广义有效点的一个存在性定理 |
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| 引用本文： | 黄龙光,刘三阳. 向量优化问题广义有效点的一个存在性定理[J]. 运筹学学报, 2003, 7(1): 53-58 |
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| 作者姓名： | 黄龙光 刘三阳 |
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| 作者单位： | 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China under Grant No.69972036. |
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| 摘 要： | 利用集值映射不动点定理及最优化问题与变分不等式的关系给出线性G^↑ateaux可微的锥凸映射的广义有效点的一个存在性定理。
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| 关 键 词： | 向量优化问题 广义有效点 存在性定理 Hausdorff拓扑向量空间 凸维 C－凸集值映射 线性G^↑ateaux可微 |
An Existence Theorem of Generalized Efficient Points for Vector Optimization Problems |
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| LONGGUANG HUANG SANYANG LIU. An Existence Theorem of Generalized Efficient Points for Vector Optimization Problems[J]. OR Transactions, 2003, 7(1): 53-58 |
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| Authors: | LONGGUANG HUANG SANYANG LIU |
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| Abstract: | A Sufficient condition for the existence of generalized efficient points for a C-convex mapping with linear Gateaux derivative is presented. The proof is based on a fixed point theorem and the relationships between the solutions of vector variational inequality problems and those of vector optimization problems discussed. |
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| Keywords: | C-convex mapping C-convex set-valued mapping Linear Gateaux differentiable Generalized efficient point. |
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