| 关于增生算子方程的具误差的Ishikawa迭代序列的收敛率估计 |
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| 引用本文： | 王绍荣,熊明.关于增生算子方程的具误差的Ishikawa迭代序列的收敛率估计[J].应用泛函分析学报,2009,11(2):112-117. |
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| 作者姓名： | 王绍荣 熊明 |
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| 作者单位： | 大理学院数学与计算机学院,云南,大理,671000 |
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| 摘 要： | 设X是一实的Banach空间，TLX→X是—Lipschitz的增生算子；证明了具误差的Ishikawa迭代序列强收敛到x＋Tx=f的唯一解；得到一个一般的收敛率估计式．进一步得到：若了T：X→X是—Lipschitz的强增生算子，则具误差的Ishikawa迭代序列强收敛到Tx=f的唯一解．文中结果推广和发展了已有的相关结果．
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| 关 键 词： | 实Banach空间 增生算子 具误差的Ishikawa迭代序列 收敛率估计 |
Convergence Rate Estimate of Ishikawa Iteration Method with Errors for Equations Involving Accretive Operators |
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| WANG Shao-rong,XIONG Ming.Convergence Rate Estimate of Ishikawa Iteration Method with Errors for Equations Involving Accretive Operators[J].Acta Analysis Functionalis Applicata,2009,11(2):112-117. |
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| Authors: | WANG Shao-rong XIONG Ming |
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| Institution: | (College of Math and Comput, Dali University, Dali 671000, China) |
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| Abstract: | Let X be an arbitrary real Banach spaces and T..X → X be a Lipschitz accretive operator. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation x ＋Tx = f. Moreover, our result provides a general convergence rate estimate for such a sequence . Utilizing this result, we imply that if T..X → X be a Lipschitz strongly accretive operator. Then the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation Tx = f. The results presented in this paper extend and improve the recent corresponding results |
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| Keywords: | arbitrary real Banach spaces accretive operator Ishikawa iterative process with errors convergence rate estimate |
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