G-凸空间中的择一原理和极大极小不等式

M·巴拉奇

G-凸空间中的择一原理和极大极小不等式

M·巴拉奇

奥拉迪亚大学数学系,奥拉迪亚 410087,罗马尼亚

详细信息

中图分类号: O189.1
计量
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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

Alternative Principles and Minimax Inequalities in G-Convex Spaces

Mircea Balaj

Department of Mathematics, University of Oradea, 410087 Oradea, Romania

摘要

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．
- G-凸空间 /
- 严格KKM性质 /
- 不动点定理 /
- 极大元 /
- 择一定理 /
- 极大极小不等式
Abstract: By using a fixed point theorem due to Kuo,Jeng and Huang in G-convex spaces a very general intersection theorem concerning the values of three maps was obtained.From this result successively alternative theorems concerning maximal elements,analytic alternatives and minimax inequalities were derived.
- G-convex space /
- strict KKM property /
- fixed point theorem /
- maximal element /
- alternative theorem /
- minimax inequality

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参考文献(14)

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