| 关于广义L-S-KKM映象的性质 |
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| 引用本文： | 刘学文.关于广义L-S-KKM映象的性质[J].西南民族学院学报(自然科学版),2003,29(2):146-149. |
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| 作者姓名： | 刘学文 |
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| 作者单位： | 涪陵师范学院数学系 重庆涪陵 |
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| 基金项目： | 国家自然科学基金资助项目(19871067). |
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| 摘 要： | 作为研究非线性领域中很多问题的重要工具，Lin和Chang引入了一类S-KKM映象，证明了若干S-KKM映象的性质．本文在L-凸空间中建立了广义L-S-KKM映象，讨论了广义L-S-KKM映象的性质，并且证明了L-S-KKM集族是KKM集族的真推广．作为应用还得到了L-凸空间中的一个不动点定理．改进和推广了广义S-KKM映象的相关性质．
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| 关 键 词： | 广义L-S-KKM映象 L－凸空间 L－S－KKM性质 不动点 |
| 文章编号： | 1003-2843(2003)02-0146-04 |
| 修稿时间： | 2003年1月22日 |
On property of generalized L-S-KKM mapping |
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| LIU Xue-wen.On property of generalized L-S-KKM mapping[J].Journal of Southwest Nationalities College(Natural Science Edition),2003,29(2):146-149. |
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| Authors: | LIU Xue-wen |
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| Abstract: | Recently, Lin and Chang introduced the concept of S-KKM mapping and gave some properties of a class S-KKM for set-valued mappings. The concept has become an adequate and important tool for studying some problems in nonlinear analysis. In this paper, a generalized L-S-KKM mappings is introduced in L-convex spaces. Some properties of a class L-S-KKM( X,Y,Z) for set-valued mappings are proved in L-convex spaces. As an application, a fixed point theorem is established in L-convex spaces. |
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| Keywords: | L-convex space generalized L- S-KKM mappings L-S-KKM property fixed point |
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