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广义凸空间上 Von Neumann- Fan型 supinfsup不等式(英文) 被引量:1

Von Neumann-Fan Type supinfsup Inequalites On Generalized Convex Spaces
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摘要 我们将得到广义凸空间上 Von Neumann- Fan型 supinfsup不等式 ,我们的结果对文 [1]和 [2 ]中的相应结论进行了改进和一般化 . In this paper, we obtain Von Neumann-Fan type supinfsup inequalities on generalized convex spaces. Our results generalize and improve the corresponding results in [1] and [2].
作者 朴勇杰
机构地区 延边大学数学系
出处 《数学研究》 CSCD 2004年第2期109-116,共8页 Journal of Mathematical Study
基金 the National Natural Science Foundation of China (10 36 10 0 5 )
关键词 广义凸空间 KKM映射 上[下]半连续 诱捕 共存的 generalized convex space KKM map trappable coexistent upper[lower] semicontinuous
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参考文献8

  • 1Li H M, Ding X P. On versions of KKM principle in H-spaces and its applications. J. Sichuan Normal Univ, 1993, 16(3):21-27.
  • 2Liu F C. On a form of KKM principle and supinfsup inequalities of von Neumann and Ky Fan type. J. Math. Anal. Appl. 1991, 155:420-436.
  • 3Park Sehie. Ninety years of Brouwer fixed point theorem. Vietnam J. Math. 1999, 27:187-222.
  • 4Park Sehie. Elements of the KKM theory for generalized convex spaces. Korean J. Comp. Appl. Math. 2000, 7:1-28.
  • 5Lassonde M. On the use of KKM multimaps in fixed point theory and related topics. J. Math. Anal. Appl. 1983, 97:151-201.
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  • 7Piao Yongjie, Cui Hailan. Some Basic Properties on Generalized convex spaces. Yanbian Univ(Natural Sci.), 2002, 3:157-159.(in Chinese)
  • 8Piao Yongjie, Cui Hailan. Some Versions of KKM Principle on generalized convex spaces. Yanbian Univ(Natural Sci.), 2002, 4:235-239.

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