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数学物理学报(A辑) 2004
Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators
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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.