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一类新的KKM定理及其应用*

张石生 张宪

张石生, 张宪. 一类新的KKM定理及其应用*[J]. 应用数学和力学, 1996, 17(9): 773-780.
引用本文: 张石生, 张宪. 一类新的KKM定理及其应用*[J]. 应用数学和力学, 1996, 17(9): 773-780.
Zhang Shisheng, Zhang Xian. On a Class of New KKM Theorem with Applications[J]. Applied Mathematics and Mechanics, 1996, 17(9): 773-780.
Citation: Zhang Shisheng, Zhang Xian. On a Class of New KKM Theorem with Applications[J]. Applied Mathematics and Mechanics, 1996, 17(9): 773-780.

一类新的KKM定理及其应用*

基金项目: * 国家自然科学基金

On a Class of New KKM Theorem with Applications

  • 摘要: 本文得到一类新的KKM定理,统一和改进了[2,3,0,7,11]中的结果。作为应用,我们得到了几个匹配定理、重合定理、不动点定理、极大极小不等式定理及截口定理。
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    [4] 张石生,《变分不等式和相补问题理论及应用》,上海科技文献出版社,上海(1991).
    [5] Ky Fan,Some properties of convex sets related to fixed point theorems,Math.Ann.,266(1984),519-537.
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    [11] S.Park,Generalizations of Ky Fan's matching theorems and their applications.J.Math.Anal.Appl.,141(1989),164-176.
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出版历程
  • 收稿日期:  1995-03-15
  • 刊出日期:  1996-09-15

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