| 值域有界的一类非线性算子不动点的带误差迭代逼近 |
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| 引用本文： | 薛志群,周海云,丁协平.值域有界的一类非线性算子不动点的带误差迭代逼近[J].应用数学和力学,1999,20(1):93-98. |
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| 作者姓名： | 薛志群 周海云 丁协平 |
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| 作者单位： | 军械工程学院基础部,石家庄,050003 |
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| 摘 要： | 设Ｘ为一致光滑实Ｂａｎａｃｈ空间·Ｔ：Ｘ→Ｘ为连续强增生算子·ｆ∈Ｘ·定义算子Ｓ：Ｘ→Ｘ为Ｓｘ＝ｆ－Ｔｘ＋ｘ，ｘ∈Ｘ·设αｎ｛｝∞ｎ＝０与βｎ｛｝∞ｎ＝０为两个给定的实数列在（０，１）中且满足条件：（ⅰ）αｎ→０，βｎ→０（ｎ→∞）·（ⅱ）∑∞ｎ＝０αｎ＝∞·假设ｕｎ｛｝∞ｎ＝０和ｖｎ｛｝∞ｎ＝０为Ｘ中两个序列且满足‖ｕｎ‖＝ｏ（αｎ），‖ｖｎ‖→０（ｎ→∞）·ｘ０∈Ｘ，迭代序列ｘｎ｛｝定义为：（ＩＳ）ｘｎ＋１＝（１－αｎ）ｘｎ＋αｎＳｙｎ＋ｕｎｙｎ＝（１－βｎ）ｘｎ＋βｎＳｘｎ＋ｖｎ（ｎ≥０）｛若Ｓｘｎ｛｝，Ｓｙｎ｛｝有界，则ｘｎ｛｝强收敛于Ｓ的唯一不动点
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| 关 键 词： | 一致光滑实Banach空间 带误差的Ishikawa迭代 强增生算子 |
Iterative Approximation with Errors of Fixed Point for a Class of Nonlinear Operation with a Bounder Range |
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| Xue Zhiqun,Zhou Haiyun Deptartment of Basic Science,Ordnance Engineering College,Shijianzhuang ,P R China.Iterative Approximation with Errors of Fixed Point for a Class of Nonlinear Operation with a Bounder Range[J].Applied Mathematics and Mechanics,1999,20(1):93-98. |
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| Authors: | Xue Zhiqun Zhou Haiyun Deptartment of Basic Science Ordnance Engineering College Shijianzhuang P R China |
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| Institution: | Xue Zhiqun,Zhou Haiyun Deptartment of Basic Science,Ordnance Engineering College,Shijianzhuang 050003,P R China |
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| Abstract: | |
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| Keywords: | uniformly smooth real Banach spaces Ishikawa iteration with errors strongly accretive operator |
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