| 一般凸空间上相交定理的另一种形式及其对变分不等式的应用 |
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| 引用本文： | 朴勇杰,尹哲. 一般凸空间上相交定理的另一种形式及其对变分不等式的应用[J]. 吉林大学学报(理学版), 2008, 46(3): 438-442 |
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| 作者姓名： | 朴勇杰 尹哲 |
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| 作者单位： | 延边大学 理学院数学系, 吉林 延吉 133002 |
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| 基金项目： | 国家自然科学基金 , 延边大学校科研和教改项目 |
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| 摘 要： | 利用古典的KKM原理和一般凸空间上最基本的KKM型定理得出若干个相交定理的另一种表现形式, 并给出转移开闭映射的一个性质. 作为相交定理的应用讨论了广义变分不等式解的存在性.
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| 关 键 词： | 一般凸空间 Γ凸的 转移开(闭)映射 上(下)半连续 KKM映射 |
| 文章编号： | 1671-5489(2008)03-0438-05 |
| 收稿时间： | 2007-06-29 |
| 修稿时间： | 2007-06-29 |
Another Form of Intersection Theorems on Generalized Convex Spaces and Its Application to Variational Inequality |
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| PIAO Yong-jie,YIN Zhe. Another Form of Intersection Theorems on Generalized Convex Spaces and Its Application to Variational Inequality[J]. Journal of Jilin University: Sci Ed, 2008, 46(3): 438-442 |
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| Authors: | PIAO Yong-jie YIN Zhe |
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| Affiliation: | Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | Another form of intersection theorems was obtained by means of classical KKM principle and the basic KKM type theorem on generalized convex spaces, and then an important property of transfer open closed valued map was given, finally the existence problem of solution for generalized variational inequality was discussedas the application of intersection theorem. |
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| Keywords: | generalized convex space Γconvex transfer open(closed) map upper(lower)semicontinuous KKM map |
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