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Banach空间中用带误差的Ishikawa迭代序列逼近强增生算子方程的解
引用本文:赵彦青.Banach空间中用带误差的Ishikawa迭代序列逼近强增生算子方程的解[J].忻州师范学院学报,2008,24(5).
作者姓名:赵彦青
作者单位:忻州师范学院,山西,忻州,034000
摘    要:本文在实的Banach空间中证明了带误差的Ishikawa迭代序列强收敛到强伪压缩算子T的不动点。并用带误差的Ishikawa迭代序列逼近强增生算子方程的解。推广文献5]的结果到带误差的Ishikawa迭代序列。

关 键 词:带误差的Ishikawa迭代序列  Banach空间  强伪压缩算子  强增生算子  算子方程

Ishikawa Iterative Sequence with Errors Approximate the Solution of Strongly Accretive Operator Equations in Banach Spaces
ZHAO Yan-qing.Ishikawa Iterative Sequence with Errors Approximate the Solution of Strongly Accretive Operator Equations in Banach Spaces[J].Journal of Xinzhou Teachers University,2008,24(5).
Authors:ZHAO Yan-qing
Abstract:In this paper,we prove that the Ishikawa iterative sequence with errors converges strongly to the fixed point of strongly pseudocontractive operator in real Banach spaces.And using the Ishikawa iterative sequences with errors approximate the solution of strongly accretive operator equations.The results presented in this paper extend the corresponding results in 5] to the Ishikawa iterative sequence with errors.
Keywords:Ishikawa iterative sequence with errors  Banach space  strongly pseudocontractive operator  strongly accretive operator  operator equation
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