| H-KKM映像及其抽象拟凸(凹)性 |
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| 引用本文： | 杨静,汪慎文,张明义.H-KKM映像及其抽象拟凸(凹)性[J].西南农业大学学报,2007,29(4):1-4. |
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| 作者姓名： | 杨静 汪慎文 张明义 |
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| 作者单位： | [1]贵州大学计算机科学与技术学院,贵阳550025 [2]石家庄经济学院计算机科学系,石家庄050031 [3]贵州科学院,贵阳550001 |
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| 基金项目： | 国家自然科学基金资助项目（10161005）;贵州大学引进人才科研资助项目. |
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| 摘 要： | 对一组H-KKM映象的情形推广了KKM定理,并讨论了取值于Riesz空间的映像的各种抽象凸（凹）概念与H-KKM映像、广义H-KKM映像的关系,还用所得结果对极大极小不等式及鞍点问题进行了研究.
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| 关 键 词： | H—KKM映象 KKM定理 Riesz空间 极大极小不等式 鞍点问题 |
| 文章编号： | 1000-2642（2007）04-0001-04 |
| 修稿时间： | 2006-02-21 |
H-KKM Mapping and Abstract Convex(Concave) Conceptions |
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| YANG Jing, WANG Shen-wen, ZHANG Ming-yi.H-KKM Mapping and Abstract Convex(Concave) Conceptions[J].Journal of Southwest Agricultural University,2007,29(4):1-4. |
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| Authors: | YANG Jing WANG Shen-wen ZHANG Ming-yi |
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| Institution: | 1. College of Computer Science and Technology, Guizhou University, Guiyang 550025, China 2. Dept. of Computer Science, Shijiazhuang University of Economics, Shijiazhuang 050031, China 3. Guizhou Academy of Sciences, Guiyang 550001, China |
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| Abstract: | In the paper,the authors generalize KKM theorem based on H-KKM mapping and discuss the relationship among H-KKM mapping,generalized H-KKM mapping and abstract convex(concave) conception which fetch their values from Riesz space.Based on the results,problems of minimax inequality and saddle point are discussed. |
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| Keywords: | H-KKM mapping H-KKM theorem Riesz spaee minimax inequality saddle point problem |
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