| 极大η-单调集值映射的一个性质 |
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| 引用本文： | 范丽亚.极大η-单调集值映射的一个性质[J].运筹学学报,2005,9(4):37-43. |
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| 作者姓名： | 范丽亚 |
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| 作者单位： | 天津工业大学理学院,天津,300160. |
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| 基金项目： | This Research is supported by Colleges and Universities'Science and Technology Development Foundation (20040401) of Tianjin, P.R. China |
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| 摘 要： | 本文着重研究了在什么条件下集值映射I λT的值域是全空间Rn这一问题,其中I是恒等映射,λ>0是任意给定的常数,T是一个极大η-单调的集值映射．文中主要结果部分地解决了C．-H．Lee,Q．H．Ansari和J．-C．Yao在2000年提出的一个公开问题．此外,针对真下半连续泛函的η-次微分映射,也讨论了上述问题．
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| 关 键 词： | 运筹学 集值映射 极大η-单调性 η-次微分映射 半连续性 |
| 收稿时间： | 2003-12-30 |
| 修稿时间： | 2003年12月30 |
A Property of Maximal η-Monotone Set-Valued Mappings |
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| Fan Liya.A Property of Maximal η-Monotone Set-Valued Mappings[J].OR Transactions,2005,9(4):37-43. |
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| Authors: | Fan Liya |
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| Abstract: | This paper is devoted to study the problem that under what conditions the range of the set-valued mapping I + λT is the whole space Rn, where I is the identity mapping,λ＞ 0 is any given constant and T is a maxiaml η-monotone set-valued mapping. Main result here answers partially the open problem presented by C.-H.Lee, Q.H.Ansari and J.-C.Yao in 2000. In addition, a special case related to the η-subdifferential mapping of a proper semicontinuous functional is also considered. |
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| Keywords: | Operations research set-valued mapping maximal η-monotonicity η-subdifferential mapping semicontinuity |
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