关于增生算子方程解的带误差的Ishikawa迭代程序

Abstract

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 alsoconverges strongly to the unique solution of the equation of the Lipschitz continuous strongly accretive operator.

Key words: Arbitrary real Banach space, Accretive operator, Ishikawa iterative sequence with errors, Convergence rate estimate.

CLC Number:

47H09

CENG Liu-Chuan. Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators[J].Acta mathematica scientia,Series A, 2004, 4(6): 654-660.

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Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators

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