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关于k-次增生算子方程的具误差的Ishikawa迭代解

Convergence of Ishikawa Iterative Sequences with Errors for k-Subaccretive Operators
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摘要 在任意Banach空间中,研究了非线性算子方程x+Tx=f的分别带2种误差的Ishikawa迭代序列的收敛性问题,其中T不必是增生的,也不必是Lipschitz的. The purpose of this paper is to study Ishikawa iterative solution with errors for the equation x + Tx = f with a nonlinear operator T in a arbitrary Banach Space,Where T is not necessarily accretive.
作者 刘英 何震
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2008年第3期237-239,共3页 Journal of Hebei University(Natural Science Edition)
关键词 K-次增生算子 一致连续 具误差的Ishikawa迭代 k-Subaccretive operator uniformly continuous Ishikawa iterative solution with errors
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参考文献4

  • 1LIU L S.Ishikawa-type and Mann-type iterative process with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach space[J].Nonlinear Analysis,1998,24:307-317.
  • 2XLI Y G.Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations[J].J Math Anal Ap-pl,1998,224 t91-101.
  • 3CHIDUME C E,OSILIKE M O.Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces[J].Non-linear Analysis,1999,36:863-872.
  • 4刘英.在任意Banach空间关于κ-次增生算子方程的迭代解.河北大学学报:自然科学版,2002,22:23-26.

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