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广义弱Fan Ky点的存在性 被引量：1

The Existence of Generalized Weak Fan Ky Point
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摘要 主要研究了广义向量平衡问题,得到了一个广义弱Fan Ky点存在性定理。 In this paper, we mainly study the problem of generalized vector equilibrium and get the theory of the existence of generalized weak Fan Ky point.
作者 陈源
机构地区 衡阳师范学院数学与计算科学系
出处 《衡阳师范学院学报》 2009年第6期7-8,共2页 Journal of Hengyang Normal University
基金 湖南省教育厅基金资助项目(08C177)
关键词 广义弱Fan Ky点 集值映射 C-凹 generalized weak Fan Ky point set-valued maps C-concave
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献8

  • 1J. 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.
  • 2K. 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.
  • 3K. K. Tan, J. Yu and X. Z. Yuan. The stability of Ky Fan's points [J]. Amer, Math. Soci, 1995, 123: 1511-1519.
  • 4Jian Yu,Shu Wen Xiang. On essential components of the set of Nash equilibrium points[J].Nonliear Analysis, 1999,38:259-264.
  • 5Yang H, Yu J. On essential components of the set of weakly Pareto-Nash equlibrium points [J]. Applied Math. Letters, 2002,15 : 553-560.
  • 6余孝军,林志.广义Ky Fan点的通有稳定性[J].大学数学,2008,24(6):43-47. 被引量：1
  • 7K,Fan. A minimax inequality and its applications: Inequalities III[M].edited by O. Shisha. [s. l. ]: Academic Press, 1972 : 103-113.
  • 8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

二级参考文献22

  • 1Fan K. A minimax inequality and its applications[C]. Inequalities 3, edited by O. Shisha, Academic Press[A]. 1972,103-113.
  • 2Yu J, Yuan G X-Z. The study of Pareto Equilibria for Muitiobjective Games by Fixed point and Ky Fan Minimax Inequality Methods[J]. Computers Math, Applic, 1998,35(9) : 17-24.
  • 3Tan K K, Yu J and Yuan X Z. Existence theorems of Nash equilibria for noncooperative N-prson games[J]. I.J. of Game theory, 1995,(24):217-222.
  • 4Tan K K, Yu J and Yuan X Z. The stability of Ky Fan's points[J]. Amer, Math. Soci, 1995, (123):1811-1519.
  • 5Yu J, Xiang S W. 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 equilibrium points[J].Applied Math. Letters, 2002, (15):553-560.
  • 7Klein E, Thompson. Theory of correspondence[M]. New York: Jhon Wiley and Sons, 1984.
  • 8Fort M K, Jr. Points of continuity of semi-continuous function[J]. Publication Math Debrcen, 1952, (2): 100-102.
  • 9Fan K. A Generalization of Tychonoff's fixed-point theorem[J]. Math. Ann, 1961,(142):305-310.
  • 10K Fan.A minimax inequality and its applications[M].New York:Acadimic Press,1972.103-113.

共引文献4

同被引文献9

  • 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 Min-imax 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,1995,12(3):1511-1519.
  • 5Jian Yu,Shu-Wen Xiang.On essential components of the set of Nash equilibrium points[J].Nonliear Analysis,1999,3(8):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[M].New York:Academic Press,1972:103-113.
  • 8彭定涛.向量平衡问题新的存在性定理及其等价形式和应用[J].数学学报（中文版）,2009,52(3):441-450. 被引量：3
  • 9黄龙光.向量均衡问题解的存在性[J].数学学报（中文版）,2009,52(5):905-910. 被引量：1

引证文献1

衡阳师范学院学报
2009年 第6期

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