| 关于带m-增生算子扰动的非线性方程具误差的强收敛迭代序列 |
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| 引用本文： | 陈永红,刘英.关于带m-增生算子扰动的非线性方程具误差的强收敛迭代序列[J].江汉大学学报(自然科学版),2009,37(2):9-11. |
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| 作者姓名： | 陈永红 刘英 |
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| 作者单位： | 1. 华北电力大学,电子与通信工程系,河北,保定,071003;中国通信建设第一工程局,河北,保定,071051
2. 河北大学,数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 研究了在任意Banach空间,形如f∈Tx+Ax+Cx的非线性方程的解的逼近问题.其中T:E→2E为m-增生的,A:E→E是增生的,C:E→E是一个满足适当条件的非线性映射.构造了一个新的迭代序列,求得这一迭代序列的极限即为该方程的逼近解,从而推广了有关文献中的某些结果.
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| 关 键 词： | m-增生算子 lshikawa迭代序列 带扰动的非线性方程 正规对偶映射 |
Strong Convergence Iterative Sequence with Error of Nonlinear Equation with m-proliferated Operator Disturbance |
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| CHEN Yong-hong,LIU Ying.Strong Convergence Iterative Sequence with Error of Nonlinear Equation with m-proliferated Operator Disturbance[J].Journal of Jianghan University:Natural Sciences,2009,37(2):9-11. |
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| Authors: | CHEN Yong-hong LIU Ying |
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| Abstract: | To research the approaching problem ofsolution ofnonlinear equations whose formlikes f∈Tx+Ax+Cx,under the arbitrary Banach space.Among them,T:E→2Eis m-proliferated,A:E→E is proliferated,C:E→E is a nonlinear mapping which satisfies some proper conditions.Constructs a new iterative sequence,the solution shows the limit of the iterative sequence is theapproaching solution of the equation,thus extends some results in related researches. |
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| Keywords: | m-proliferated operator lshikawa iterative sequence nonlinear equation with dis-turbance nomal duality map |
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