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增生算子方程解的具误差的Ishikawa迭代逼近 被引量:1

Ishikawa Iterative Approximation with Errors of Solutions for Accretive Operator Equations
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摘要 设E是任意实Banach空间 ,T :E→E是Lipschitz增生算子 ,在没有条件limn→∞αn =limn→∞βn =0 之下 ,证明了非线性方程x +Tx =f解的具误差的Ishikawa迭代逼近 ,并提供了收敛率的估计 。 Let E be an arbitrary real Banach, and T:E→E be a Lipschitz accretive operator. Under the lack of the condition  lim n→∞α n= lim n→∞β n=0, it is proved that Ishikawa iterative space approximation with errors for solutions of the nonlinear equation x+Tx=f, our argument provides a convergence rate estimate. This paper generalizes and extends some recent corresponding results.
作者 金茂明
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 2002年第4期373-375,共3页 Journal of Sichuan Normal University(Natural Science)
关键词 增生算子 误差 ISHIKAWA迭代 Banch空间 Accretive operator Ishikawa iterative with errors Banach space
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