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含k-次增生算子的Ishikawa迭代的收敛性问题 被引量:7

The Convergences of Ishikawa Iterative Sequences for k-subaccretive Operator
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摘要 主要研究了非线性方程 x + Tx =f的 Ishikawa迭代解 .其中 T为 k -次增生的或增生的 .并在一致光滑和任意的实 Banach空间分别研究了上述方程的带误差的 Ishikawa迭代解 ,从而推广了已知的一些结果 . In this paper the Ishikawa iterative solution isstudied for the equation x+Tx=f, where T is a k-subaccretive operat er or an accretive operator. Moreover, in the uniformly smooth and arbitrary Ban ach space, the Ishikawa iterative solution with errors for the same equation isalso studied respectively.Some well-kown results are gerneralized.
作者 苏珂 何震
出处 《应用泛函分析学报》 CSCD 2003年第3期255-264,共10页 Acta Analysis Functionalis Applicata
关键词 K-次增生算子 Ishikawa迭代解 收敛性 BANACH空间 uniformly smooth Banach space k-subaccretiv e operator accretive operator Ishikawa iterative sequences with errors
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