| 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].重庆交通大学学报(自然科学版),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： | 重庆交通学院,基础部,重庆,400074;重庆师范大学,化学学院,重庆,400047;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： | 重庆交通学院校科研和教改项目 |
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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 |
| 文章编号： | 1001-716X(2006)04-0148-03 |
| 修稿时间： | 2005年3月31日 |
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 locally-convex 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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