| 一类集值映射的连续性 |
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| 引用本文： | 杨益民. 一类集值映射的连续性[J]. 安徽工程科技学院学报：自然科学版, 2001, 16(1): 16-21 |
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| 作者姓名： | 杨益民 |
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| 作者单位： | 安徽机电学院应用数理系, |
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| 基金项目： | 安徽省跨世纪人才培养基金;; |
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| 摘 要： | 基于对拟线性函数的深入研究,利用凸集分离定理和回收锥的性质,对由 Rn上拟线性函数构成的参数约束集,给出了在 Berge意义下当参数变化时,约束集产生的映射是下半连续的一个重要结论.利用该结论,可以很方便地得出拟线性规划稳定性的一系列结果.
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| 关 键 词： | 拟线性函数 回收锥 集值映射 下半连续性 参数规划 稳定性 |
| 文章编号： | 1007－5240(2001)01－0016－06 |
| 修稿时间： | 2000-08-25 |
Continuity on a kind of point-to-set mapping |
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| YANG Yi-min. Continuity on a kind of point-to-set mapping[J]. Journal of Anhui University of Technology and Science, 2001, 16(1): 16-21 |
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| Authors: | YANG Yi-min |
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| Abstract: | Based on the study of the properties of quasilinear function and recession cone of convex set and by utilizing convex set seperation theorem, parameter constraint set decided by some quasilinear functions on Rn was dealt with.An important theorem was obtained that constraint set mapping is lower semicontinuous (in Berge's meaning) when parameter constraint set changes.According to the theorem, some conclusions on the stability of quasilinear programming can be reached. |
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| Keywords: | quasilinear function recession cone point-to-set mapping lower semicontinuous parametric programming stability |
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