Alternative Principles and Minimax Inequalities in G-Convex Spaces
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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.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.
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Key words:
- G-convex space /
- strict KKM property /
- fixed point theorem /
- maximal element /
- alternative theorem /
- minimax inequality
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