| G-凸空间中的截口定理及其应用 |
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| 引用本文： | 王彬.G-凸空间中的截口定理及其应用[J].内江师范学院学报,2010,25(2):26-28. |
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| 作者姓名： | 王彬 |
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| 作者单位： | 内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川,内江,641100 |
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| 摘 要： | 将Ky Fan截口定理推广到G-凸空间．在G-凸空间上进一步推广了Browder不动点定理，并研究了向量值函数的极大极小值，极大极小不等式以及鞍点问题．
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| 关 键 词： | G-凸空间 Riesz空间 G—KKM映象 截口定理 |
Section Theorem and Its Applications in G-convex Spaces |
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| WANG Bin.Section Theorem and Its Applications in G-convex Spaces[J].Journal of Neijiang Teachers College,2010,25(2):26-28. |
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| Authors: | WANG Bin |
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| Institution: | College of Mathematics & Information Science//Key Laboratory of Numerical Simulation of Sichuan Province/a>;Neijiang Normal University/a>;Neijiang/a>;Sichuan 641100/a>;China |
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| Abstract: | The Ky Fan section theorem is generalized to G-convex space.As a case of application,Browder,s fixed point theorem is also further generalized and problems concerning vector valued function such as the minimax value,minimax inequality and saddle point problems are studied in G-convex spaces as well. |
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| Keywords: | G-convex space Riesz space G-KKM mapping section theorem |
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