| 广义凸空间上重合点定理和极大极小不等式 |
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| 引用本文： | 朴勇杰,朴东哲. 广义凸空间上重合点定理和极大极小不等式[J]. 数学的实践与认识, 2011, 41(23) |
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| 作者姓名： | 朴勇杰 朴东哲 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉,133002 |
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| 基金项目： | 吉林省教育厅科研项目(吉教科合字[2011]第434号) |
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| 摘 要： | 利用已知的KKM型定理,在广义空间上得到若干个新的重合点定理和推广的Fan-Browder型不动点定理,并且讨论了Von Newmann-Sion型极大极小不等式.主要结果改进和推广了文献中的相应结论.
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| 关 键 词： | G-凸空间 下半连续 上半连续 KKK映射 Γ-凸子集 重合点 |
Coincidence Point Theorems and Minimax Inequalities on Generalized Convex Spaces |
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| PIAO Yong-jie,PIAO Dong-zhe. Coincidence Point Theorems and Minimax Inequalities on Generalized Convex Spaces[J]. Mathematics in Practice and Theory, 2011, 41(23) |
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| Authors: | PIAO Yong-jie PIAO Dong-zhe |
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| Affiliation: | PIAO Yong-jie,PIAO Dong-zhe (Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China) |
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| Abstract: | By using well-known KKM type theorems,some new Ky Fan type coincidence theorems and generalized Fan-Browder type fixed point theorems on generalized convex spaces were obtained,and then Von Neumann-Sion type minimax inequlaties were discussed. The main results improve and generalize the corresponding results in the recent literature. |
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| Keywords: | G-convex space l.s.c,u.s.c KKM map Г-convex subset coincidence point |
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