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G-凸空间中的择一原理和极大极小不等式

M·巴拉奇

M·巴拉奇. G-凸空间中的择一原理和极大极小不等式[J]. 应用数学和力学, 2008, 29(5): 601-608.
引用本文: M·巴拉奇. G-凸空间中的择一原理和极大极小不等式[J]. 应用数学和力学, 2008, 29(5): 601-608.
Mircea Balaj. Alternative Principles and Minimax Inequalities in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(5): 601-608.
Citation: Mircea Balaj. Alternative Principles and Minimax Inequalities in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(5): 601-608.

G-凸空间中的择一原理和极大极小不等式

详细信息
  • 中图分类号: O189.1

Alternative Principles and Minimax Inequalities in G-Convex Spaces

  • 摘要: 利用Kuo、Jeng和Huang提出的不动点定理,给出G-凸空间中关于3个映射值的非常一般的相交定理.由此结果依次导出了关于极大元、解析择一和极大极小不等式的择一定理.
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    [2] Tian C G. Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium,and complementarity[J].J Math Anal Appl,1992,170(2):457-471. doi: 10.1016/0022-247X(92)90030-H
    [3] Lin L J. Applications of a fixed point theorem in G-convex spaces[J].Nonlinear Anal,2001,46(5):601-608. doi: 10.1016/S0362-546X(99)00456-3
    [4] Kim H,Park S.Remarks on the KKM property for open-valued multimaps on generalized convex spaces[J].J Korean Math Soc,2005,42(1):101-110. doi: 10.4134/JKMS.2005.42.1.101
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    [8] Kuo T Y,Jeng J C,Huang Y Y.Fixed point theorems for compact multimaps on almost G-convex sets in generalized convex spaces[J].Nonlinear Anal,2007,66(2):415-426. doi: 10.1016/j.na.2005.11.036
    [9] Chang T H, Yen C L.KKM property and fixed point theorems[J].J Math Anal Appl,1996,203(1): 224-235. doi: 10.1006/jmaa.1996.0376
    [10] Nikodem K. K-convex and K-concave set-valued functions[R]. Politechnika Lodzka, 1989.
    [11] Ding X P. Coincidence theorems and equilibria of generalized games[J]. Indian J Pure Appl Math,1996,27(11):1057-1071.
    [12] Balaj M. Minimax inequalities in G-convex spaces[J].Bull Austral Math Soc,2005,71(3):367-376. doi: 10.1017/S0004972700038363
    [13] Balaj M. Two minimax inequalities in G-convex spaces[J].Appl Math Lett,2006,19(3): 235-239. doi: 10.1016/j.aml.2005.06.003
    [14] Balaj M, Lin L J. Alternative theorems and minimax inequalities in G-convex spaces[J].Nonlinear Anal,2007,67(5):1474-1481. doi: 10.1016/j.na.2006.06.056
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  • 被引次数: 0
出版历程
  • 收稿日期:  2007-08-16
  • 修回日期:  2008-03-16
  • 刊出日期:  2008-05-15

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