| 抽象凸空间中抉择定理的推广 |
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| 引用本文： | 范晓冬.抽象凸空间中抉择定理的推广[J].纺织高校基础科学学报,2009,22(2):198-200. |
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| 作者姓名： | 范晓冬 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州121013 |
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| 摘 要： | 空间的凸性是不动点理论以及连续选择理论中的关键条件.本文对抽象凸结构的性质做了进一步的研究.讨论了抽象凸空间中的KKM方法,并应用KKM 方法给出了抽象凸空间中的"抉择定理".主要结果改进和推广了相关文献中的结果.
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| 关 键 词： | 抉择定理 广义凸 抽象凸 KKM映射 |
A generalization of the alternative theoremin abstract convexity space |
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| FAN Xiao-dong.A generalization of the alternative theoremin abstract convexity space[J].Basic Sciences Journal of Textile Universities,2009,22(2):198-200. |
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| Authors: | FAN Xiao-dong |
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| Affiliation: | FAN Xiao-dong(Department of Mathematics,Bohai University,Jinzhou,Liaoning 121013,China) |
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| Abstract: | The convexity of space plays a very important role in fixed point theory and continuous selection theory.The further properties of abstract convexity structures are discussed.And the KKM technique is presented,using this technique a new alternative theorem in abstract convexity space are established.The main results improve and generalize the corresponding results in previous papers |
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| Keywords: | alternative theorem generalized convexity abstract convexity KKM mapping |
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