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REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES

REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES
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摘要 The stability of the Ishikawa iteration procedures was studied for one class of continuity strong pseudocontraction and continuity strongly accretive operators with bounded range in real uniformly smooth Banach space. Under parameters satisfying certain conditions, the convergence of iterative sequences was proved. The results improve and extend the recent corresponding results, and supply the basis of theory for further discussing convergence of iteration procedures with errors. The stability of the Ishikawa iteration procedures was studied for one class of continuity strong pseudocontraction and continuity strongly accretive operators with bounded range in real uniformly smooth Banach space. Under parameters satisfying certain conditions, the convergence of iterative sequences was proved. The results improve and extend the recent corresponding results, and supply the basis of theory for further discussing convergence of iteration procedures with errors.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第12期1472-1476,共5页 应用数学和力学(英文版)
关键词 Ishikawa iteration strongly pseudo-contractive operator uniformly smooth Banach space almost T-stable Ishikawa iteration strongly pseudo-contractive operator uniformly smooth Banach space almost T-stable
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参考文献7

  • 1Prof. Klaus Deimling.Zeros of accretive operators[J].Manuscripta Mathematica.1974(4)
  • 2ZHOU Hai_yun.Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption[].Journal of Mathematical Analysis and Applications.1999
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