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OALib Journal期刊
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Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators
关于增生算子方程解的带误差的Ishikawa迭代程序

Keywords: Arbitrary real Banach space,Accretive operator,Ishikawa iterative sequence with errors,Convergence rate estimate
任意实Banach空间
,增生算子,带误差的Ishikawa迭代序列,收敛翠估计

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Abstract:

It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation involving the Lipschitz continuous accretive operator in a Banach space. Moreover, our result provides a general convergence rate estimate for the Ishikawa iterative sequence. From this result, it follows that the Ishikawa iterative sequence with errors also converges strongly to the unique solution of the equation of the Lipschitz continuous strongly accretive operator.

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