| 半严格拟单调映射变分不等式的对偶问题 |
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| 引用本文： | 黄毅鹏,黄龙光.半严格拟单调映射变分不等式的对偶问题[J].广西师范学院学报(自然科学版),2000,17(1):7-10. |
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| 作者姓名： | 黄毅鹏 黄龙光 |
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| 作者单位： | 1. 广东东莞教师进修学校,东莞,523000
2. 广东韩山师范学院,潮州,521041 |
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| 摘 要： | 该文研究拓扑向量空间闭凸集上集值半严格拟单调映射的性质,半严格拟单调映射变分不等式与其对偶变分不等式解的关系.给出了对偶变分不等式解的存在性和解的性质.
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| 关 键 词： | 伪单调映射 严格拟单调 半严格拟单调 垂直点 |
| 修稿时间： | 1999-11-02 |
DUAL PROBLEMS OF VARIATIONAL INEQUALITIES ON SEMISTRICTLY QUASIMONOTONE MAPPINGS |
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| Huang Yipeng,Huang Longguang.DUAL PROBLEMS OF VARIATIONAL INEQUALITIES ON SEMISTRICTLY QUASIMONOTONE MAPPINGS[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2000,17(1):7-10. |
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| Authors: | Huang Yipeng Huang Longguang |
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| Abstract: | In this paper We study the properties of (set-valued)Semistrictly quasimonotone mappings on a closed convex subset of Topological vector space,the relationships between variational inequalitives problems (VIP) of semistrictly quasimonotone mappings and their dual variational inequalities problems (DVIP),and thus obtain existence and some properties of solution (DVIP). |
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| Keywords: | Quasimonotone Mapping Strictly Quasimonotonicity Semistrictly Quasimonotonicity Perperdicular Points |
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