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强半压缩映象带误差的Ishikawa迭代的稳定性 被引量：1

Stability of the Ishikawa Iteration Procdure with Errors for Lipschitz Strictly Hemicontractive Mapping
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摘要 在任意实Banach空间中 ,讨论了非线性强半压缩映象带误差的Ishikawa迭代的稳定性 。 Let X is an arbitrary real Banach space and T∶XX is a Lipschitz strictly hemicontractive mapping. It is proved that certain Ishikawa iteration procedure with errors are convergent and T-stable. The results generalize the corresponding results appeared recently.
作者 姚莉 金茂明
机构地区 重庆医科大学数理教研室 涪陵师范学院数学系
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2002年第2期133-137,共5页 Journal of Southwest China Normal University(Natural Science Edition)
关键词 强半压缩映象 误差 ISHIKAWA迭代 稳定性 BANACH空间 stability strictly hemicontractive mapping Banach space
分类号 O177.91 [理学—基础数学]
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参考文献8

  • 1[1]Chidume C E, Osilke M O. Fixed point iteration for strictly hemicontractive mops in uniformly smooth Banach space [J]. Numer Funct Anal Optimz, 1994, 15(7-8): 779-790.
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  • 8[8]Kato T. Nonlinear semigroups and evolution equation [J]. J Math Soc Japan, 1967, 19: 508-520.

同被引文献6

  • 1CHANG S S, CHOY J, ZHOU H Y. Iteratitive Methods for Nonlinear Operator Equations in Banach Spaces [ M ].New York: Nova Science Publishers, Inc Huntington,2002.
  • 2OSILIKE M O. Stability of the Mean and Ishikawa interation procedures for ψ-strong pseudocontractions and nonlinear equations of the ψ-strongly accretive type [ J ]. J Math Anal Appl, 1998,227:319-334.
  • 3WENG X L. Fixed point interation for local strictly pseudocontractive mapping [ J ]. Pro Amer Math Soc,1991,113:727-731.
  • 4OSILIKE M O. Stable interation procedures and nonlinear equations of the accretive type [J]. J Math Anal, 1996,204:677-692.
  • 5OSILIKE M O. Stable interation procedures for nonlinear pseudocontractions and accretive operations in arbitray Banach spaces[J]. Indian J Pure Appl Math, 1997,29:1 017-1 029.
  • 6KATO T. Nonlinear semigroups and evolution equations[J]. J Math Soc Japan,1967,19:508-520.

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二级引证文献1

西南师范大学学报（自然科学版）
2002年 第2期

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