| GFC-空间中的参数型KKM定理及其应用 |
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| 引用本文： | 孟雪,邓磊.GFC-空间中的参数型KKM定理及其应用[J].西南师范大学学报(自然科学版),2011,36(5). |
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| 作者姓名： | 孟雪 邓磊 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173); 重庆市科委自然科学基金资助项目(CSTC,2005BB2097) |
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| 摘 要： | 首先证明了GFC-空间的一个特征性质,然后通过引进线性序空间,在非紧的GFC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到了一些新的非紧的极大极小不等式.
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| 关 键 词： | GFC-空间 GFC-参数拟凸映射 S-子集 极大极小不等式 |
Parametric Type of KKM Theorem in GFC-Spaces and Its Applications |
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| MENG Xue,DENG LeiSchool of Mathematics , Statistics,Southwest University,Chongqing ,Chin.Parametric Type of KKM Theorem in GFC-Spaces and Its Applications[J].Journal of Southwest China Normal University(Natural Science),2011,36(5). |
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| Authors: | MENG Xue DENG LeiSchool of Mathematics Statistics Southwest University Chongqing Chin |
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| Institution: | MENG Xue,DENG LeiSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin |
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| Abstract: | A feature property of GFC-spaces is got.By introducing a linear ordered space,a new parametric type of KKM theorem is proved under certain conditions in noncompact GFC-spaces.As applications,it acquired some new noncompact minimax inequalities by using the conclusion. |
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| Keywords: | GFC-space GFC-parametric-quasiconvex mapping S-subset minimax inequality |
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