| 择一定理及向量优化问题的Benson真有效性 |
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| 引用本文： | 王其林 刘军 张健. 择一定理及向量优化问题的Benson真有效性[J]. 重庆交通学院学报, 2006, 25(4): 148-150 |
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| 作者姓名： | 王其林 刘军 张健 |
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| 作者单位： | [1]重庆交通学院基础部,重庆400074 [2]重庆师范大学化学学院,重庆400047 [3]重庆师范大学数学与计算机科学学院,重庆400047 |
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| 基金项目： | 重庆交通学院科研基金资助课题（人才2004-02-20）资助 |
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| 摘 要： | 在局部凸Hausdorff空间中，引入了近次似凸集值映射，建立了近次似凸集值映射下的择一定理．最后，获得了近次似凸集值映射向量优化问题标量下Benson真有效性的一个性质．
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| 关 键 词： | 近次似凸集值映射 向量优化问题 择一定理 Benson真有效性 |
| 收稿时间： | 2005-03-31 |
| 修稿时间： | 2005-08-02 |
Alternative theorem and benson proper efficiency for vector optimization problems |
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| WANG Qi-lin, LIU Jun, ZHANG Jian. Alternative theorem and benson proper efficiency for vector optimization problems[J]. Journal of Chongqing Jiaotong University, 2006, 25(4): 148-150 |
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| Authors: | WANG Qi-lin LIU Jun ZHANG Jian |
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| Abstract: | In this paper, nearly subconvexlike set-valued maps were introduced and the alternative theorem under its was obtained in locallyconvex Hausdorff spaces. Finally, a characterization of the benson proper efficiency for vector optimization problems of nearly subconvexlike set-valued maps was obtained in terms of scalarization. |
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| Keywords: | nearly subconvexlike set-valued maps vector optimization problems alternative theorem Benson proper efficiency |
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