| 一致凸Banach空间中非扩张映射带误差的Ishikawa迭代过程 |
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| 引用本文： | 周和月,张明虎.一致凸Banach空间中非扩张映射带误差的Ishikawa迭代过程[J].河北师范大学学报(自然科学版),2006,30(2):129-132. |
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| 作者姓名： | 周和月 张明虎 |
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| 作者单位： | 保定师范专科学校,数学与计算机系,河北,保定,071051;石家庄职业技术学院,基础部,河北,石家庄,050081 |
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| 摘 要： | 讨论了一致凸Banach空间中非扩张映射不动点的逼近问题,在映射T不动点存在的前提下,证明了在较宽的条件限制下,带误差的Ishikawa迭代序列收敛于其不动点,所得结论改进了已有文献中相应结论,把限制条件∞∑n=0αn(β)n<∞减弱为∞∑n=0min{αn,βn}(β)n<∞.
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| 关 键 词： | 一致凸 Banach 空间 非扩张映射 带误差的 Ishikawa 迭代过程 |
| 文章编号： | 1000-5854(2006)02-0129-04 |
| 收稿时间： | 2004-10-18 |
| 修稿时间： | 2005-02-19 |
Ishikawa Iteration Process with Errors for Nonexpansive Mappings in Uniformly Convex Banach Space |
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| ZHOU He-yue,ZHANG Ming-hu.Ishikawa Iteration Process with Errors for Nonexpansive Mappings in Uniformly Convex Banach Space[J].Journal of Hebei Normal University,2006,30(2):129-132. |
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| Authors: | ZHOU He-yue ZHANG Ming-hu |
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| Institution: | 1. Department of Mathematics and Computer,Baoding Normal College, Hebei Baoding 071051, China; 2. Department of Basic Education,Shijiazhuang Vocational Technology Institute, Hebei Shijiazhuang 050081 ,China |
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| Abstract: | Iterative approximating problem on fixed points of nonexpansive mappings in uniformly convex Banach spaces is disscussed. Under weaker conditions, some convergence theorems are proved and by which those known results are improved. |
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| Keywords: | uniformly convex Banach space nonexpansive maping iteration process with errors |
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