| Banach空间中某些广义压缩映像不动点的迭代逼近(英文) |
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| 引用本文： | 阎雪芳,何震.Banach空间中某些广义压缩映像不动点的迭代逼近(英文)[J].河北大学学报(自然科学版),1998(4). |
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| 作者姓名： | 阎雪芳 何震 |
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| 作者单位： | 河北师范大学数学系(阎雪芳)，河北大学数学系(何震) |
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| 摘 要： | 在Ｐ－一致光滑Ｂａｎａｃｈ空间和一致光滑Ｂａｎａｃｈ空间中，研究了准压缩映像对和广义压缩映像的Ｉｓｈｉｋａｗａ迭代过程，得出了它们强收敛于各自不动点的充分条件。这些条件在同类结果中是较弱的。
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| 关 键 词： | 准压缩映像对 P－一致光滑空间 一致光滑空间 一致凸空间 Ishikawa迭代序列 |
Iteration Approximation of Fixed Point for-Some Generalized Contractive Mappings in Banach Spaces |
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| Yan Xuefang,He Zhen.Iteration Approximation of Fixed Point for-Some Generalized Contractive Mappings in Banach Spaces[J].Journal of Hebei University (Natural Science Edition),1998(4). |
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| Authors: | Yan Xuefang He Zhen |
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| Institution: | Yan Xuefang1 He Zhen2 |
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| Abstract: | This paper researched Ishikawa iterative process of quasi-contractive mapping pair and generalized contractive mapping in P-uniform smooth Banach space and uniform smooth Banach space.The authors obtained some sufficient conditions which ensure above mapping strong convergence their fixed point, respectively. These conditions are more weakly in same class result. |
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| Keywords: | Quasi-contractive mapping pair P-uniformly smooth space Uniformly smooth space Uniformly convex space Ishikawa iterative sequence |
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