| 一致连续Φ-半压缩映射不动点的带混合误差Ishikawa迭代逼近过程 |
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| 引用本文： | 白占立,薛志群,范瑞琴.一致连续Φ-半压缩映射不动点的带混合误差Ishikawa迭代逼近过程[J].河北大学学报(自然科学版),2007,27(5):460-463. |
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| 作者姓名： | 白占立 薛志群 范瑞琴 |
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| 作者单位： | 1. 河北师范大学,学报编辑部,河北,石家庄,050016
2. 石家庄铁道学院,数理系,河北,石家庄,050043 |
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| 基金项目： | 国家自然科学基金资助项目(19971068) |
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| 摘 要： | 设X为Banach空间,K为X的非空凸子集,且K+K K.设T:K→K为一致连续Φ-半压缩映射.设{αn}n∞=0和{βn}n∞=0为0,1]中的2实数列,{un}n∞=0和{vn}n∞=0为K中序列并满足一定条件.如果{Tyn}有界,则带误差项的Ishikawa迭代序列{xn}n∞=0强收敛于方程T的唯一不动点.
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| 关 键 词： | 一致连续 带误差项的Ishikawa迭代 Φ-半压缩映射 Banach空间 |
| 文章编号： | 1000-1565(2007)05-0460-04 |
| 修稿时间： | 2006年12月10 |
Approximation of Ishikawa Iteration with Mixed Errors for Fixed Points of Uniformly Continuous Φ-hemicontractive Mappings |
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| BAI Zhan-li,XUE Zhi-qun,FAN Rui-qing.Approximation of Ishikawa Iteration with Mixed Errors for Fixed Points of Uniformly Continuous Φ-hemicontractive Mappings[J].Journal of Hebei University (Natural Science Edition),2007,27(5):460-463. |
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| Authors: | BAI Zhan-li XUE Zhi-qun FAN Rui-qing |
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| Abstract: | Let X be a real Banach space and K be a nonempty convex subset of X with K+KK.Let T:K→K be a uniformly continuous and Φ-hemicontractive mapping.Let {αn}∞n=0 and {βn}∞n=0 be two real sequences in ,and {un}∞n=0 and {vn}∞n=0 be two sequences of K with satisfying certain conditions.Suppose that {Tyn} has bounded,then {xn}∞n=0 converges strongly to the unique fixed point of T. |
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| Keywords: | uniformly continuous Ishikawa iteration with errors Φ-hemicontractive mapping Banach spaces |
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