| 集值非扩张映象的耦合不动点定理 |
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| 引用本文： | 颜敬先.集值非扩张映象的耦合不动点定理[J].重庆大学学报(自然科学版),2000,23(5):127-130. |
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| 作者姓名： | 颜敬先 |
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| 作者单位： | 重庆师范高等专科学校!重庆永川402168 |
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| 摘 要： | 在严格凸Banach空间中，通过关于弱紧凸集的最佳逼近元把集值映象单值化，并采用压缩映象列逼近非扩张映象的方法，获得了集值非扩张映象的不动点定理。
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| 关 键 词： | 集值非扩张映象 严格凸BANACH空间 耦合不动点定理 |
Coupled Fixed Point Theorems for Set-valued Nonexpansive Mappings |
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| YAN,Jin,xian.Coupled Fixed Point Theorems for Set-valued Nonexpansive Mappings[J].Journal of Chongqing University(Natural Science Edition),2000,23(5):127-130. |
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| Authors: | YAN Jin xian |
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| Abstract: | In strictly convex Banach spaces, by Set valued mappings being monodromied via the optimal approximation for weakly compact convex set and using contraction mapping sequence to approximate nonexpanding mapping.The author has obtained theorems of coupled fixed point for set valued nonexpansive mappings. |
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| Keywords: | set valued nonexpanding mapping strictly convex Banach spaces coupled fixed point |
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