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参数对增生算子逼近速度的影响

The influemce of parameter on accretive operator
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摘要 设X是一实Banach空间,且T:X→X是Lipschitz连续的增生算子。在参数αn取几类均匀变化的实序列的条件下,本文提供了:Ishikawa迭代序列收敛速度的估计,且讨论了收敛速度变化的规律。 Let X be an arbitrary real Banach space and T : X → X be a Lipschitz continuous accretive operator. Under the assumption that a,, is two real sequences, the author prives that the Ishikawa iterative sequence converges strongly to the unique solution of the equation x + Tx= f. Moreover, the author provides the convergence rate estimation and discusses the law of the vary of the convergence rate.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2006年第1期28-31,共4页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 温州师范学院2003年度科学研究基金立项课题(2003Y20)
关键词 实BANACH空间 增生算子 Ishikawa迭代法 收敛率估计 arbitrary real Banach space accretive operator Ishikawa iterative process convergence rate estimate
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