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广义Ky Fan点的通有稳定性 被引量:1

The Generic Stability of the Generalized Ky Fan Points
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摘要 得到一个广义的Ky Fan不等式,它以通常的Ky Fan不等式为特例.我们讨论了在一致度量诱导的拓扑结构和二元泛函上方图形的拓扑结构下广义Ky Fan不等式问题构成的空间M中,大多数(在Baire分类意义下)广义Ky Fan不等式问题的所有广义Ky Fan点都是稳定的. We study the generic stability of the generalized Ky Fan points. We first proved a generalized Ky Fan inequality. It take Ky Fan inequality as its special case. Then, we proves that in the spaces M consisting of generalized Ky Fan inequality (in the sense of Baire category) have stable solution, i.e. we proved the generic stability of the generalized Ky Fan inequality.
作者 余孝军 林志
出处 《大学数学》 北大核心 2008年第6期43-47,共5页 College Mathematics
基金 贵州省教育厅自然科学基金项目(黔教科2006325)
关键词 广义Ky Fan不等式 广义Ky Fan点 上图拓扑 通有稳定性 generalized Ky Fan inequality, generalized Ky Fan point upper-graph topology, generic stability
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参考文献10

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二级参考文献5

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共引文献26

同被引文献7

  • 1向淑文.弱Fan Ky点与不具连续性条件的函数的极大极小不等式定理[J].贵州工业大学学报(自然科学版),2004,33(4):1-5. 被引量:5
  • 2J. YU, G. X Z. Yuan. The study of Pareto Equlibria for Muitiobjective Games by Fixed point and Ky Fan Minimax Inequality Methods[J]. Computers Math, Applic, 1998,35(9):17 -24.
  • 3K. K. Tan,J. Yu and X. Z. Yuan. Existence theorems of Nash equlibria for noncooperative N-person games[J]. I. J. of Game theory,1995,24:217 -222.
  • 4K. K. Tan, J. Yu and X. Z. Yuan. The stability of Ky Fan's points [J]. Amer, Math. Soci, 1995, 123: 1511-1519.
  • 5Jian Yu,Shu Wen Xiang. On essential components of the set of Nash equilibrium points[J].Nonliear Analysis, 1999,38:259-264.
  • 6Yang H, Yu J. On essential components of the set of weakly Pareto-Nash equlibrium points [J]. Applied Math. Letters, 2002,15 : 553-560.
  • 7K,Fan. A minimax inequality and its applications: Inequalities III[M].edited by O. Shisha. [s. l. ]: Academic Press, 1972 : 103-113.

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