| P~－一致凸空间渐近非扩张映射不动点的迭代构造 |
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| 引用本文： | 柏传志. P~－一致凸空间渐近非扩张映射不动点的迭代构造[J]. 南都学坛, 1994, 0(6) |
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| 作者姓名： | 柏传志 |
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| 作者单位： | 江苏淮阴师专数学系 |
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| 摘 要： | 设Ｔ为Ｐ—一致凸Ｂａｎａｃｈ空间非空闭有界凸子集上的全连续与浙近非扩张自映射，在一定条件下得到了Ｍａｎｎ迭代序列和Ｉｓｈｉｋａｗａ迭代序列强收敛于Ｔ的某个不动点，推广了文［２］的部分结果．（１＜Ｐ≤２）
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| 关 键 词： | P~－，一致凸空间；全连续；渐近非扩张映射；不动点；Mann迭代 |
Iterative Construction Of Fixed Points Of Asymptotically Nonexpansive Mappings In P-Vniform Convex Banach Space |
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| Bai Chuan Zhi. Iterative Construction Of Fixed Points Of Asymptotically Nonexpansive Mappings In P-Vniform Convex Banach Space[J]. Academic forum of nandu, 1994, 0(6) |
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| Authors: | Bai Chuan Zhi |
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| Affiliation: | Huaiyin Teachers College |
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| Abstract: | Let T be a Comgletelly Continuous and asymptotically nonexpansive self-mapping of a nonempty closeuy bounded and convex subSet of a p - uniform convex Banach spare. Then under certain conditions, the Mann iterative sequence and Ishikawa iterative Sequence converges strongly to some fixed point of T. The results generalize part rexults of reference[2]. |
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| Keywords: | P-uniform convex space completely continuous asymptotically nonexpansive mappings Fixed-points Mann iterative |
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