| 非紧集上若干Ky Fan不等式 |
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| 引用本文： | 叶金贤,彭定涛. 非紧集上若干Ky Fan不等式[J]. 贵州师范大学学报(自然科学版), 2009, 27(3): 65-69 |
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| 作者姓名： | 叶金贤 彭定涛 |
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| 作者单位： | 贵州大学人事处,贵州,贵阳,550025;贵州大学理学院,贵州,贵阳,550025 |
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| 基金项目： | 贵州大学青年科学基金资助项目(2007004) |
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| 摘 要： | 引入新的连续性和凸性概念,证明了非紧集上不具有任何连续性的函数弱Ky Fan点的存在性,给出了几个极大极小不等式定理,所得结果将著名的Ky Fan不等式定理推广至非紧情形且只需较弱的连续性和较弱的凸性．
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| 关 键 词： | Ky Fan不等式 弱Ky Fan点 极大极小不等式 非紧集 |
Some Ky Fan's inequalities with non-compact set |
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| YE Jin-xian,PENG Ding-tao. Some Ky Fan's inequalities with non-compact set[J]. Journal of Guizhou Normal University(Natural Sciences), 2009, 27(3): 65-69 |
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| Authors: | YE Jin-xian PENG Ding-tao |
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| Affiliation: | 1.Personnel Division;Guizhou University;Guiyang;Guizhou 550025;China;2.College of Sciences;China |
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| Abstract: | New concepts of continuity and convexity are introduced to prove the existence of weak Ky Fan's point on non-compact set for the functions with no continuity.Based on this result,we got some new minmax inequalities.Our results were constructed on non-compact set and generalized the Ky Fan's inequality to the functions with weak continuity and weak convexity. |
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| Keywords: | Ky Fan's inequility weak Ky Fan's point minmax inequality non-compact set |
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