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广义强一致ψ半压缩算子的带误差修正多步Ishikawa迭代的收敛性(英文) 被引量:2

Convergence of Modified Multi-Step Ishikawa Iterations with Errors for Generalized Strongly Successively ψ-Hemicontractive Operators
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摘要 对广义强一致ψ半压缩算子研究了带误差修正多步Ishikawa迭代的收敛性,并在更弱的条件下得到此迭代收敛到唯一的不动点. In this paper, we study the convergence of modified multi-step Ishikawa iterations with errors for generalized strongly successively ψ-hemicontractive operators. Our results generalize the recent results of the papers of Zhenyu Huang, B. E. Rhoades, C.E. Chidume and many others under a less advantageous condition.
作者 刘奇飞 邓磊
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第8期23-27,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771173) 重庆市自然科学基金资助项目(CQ CSTC,2005BB2097)
关键词 广义强一致ψ半压缩算子 带误差修正多步Ishikawa迭代 收敛性 generalized strongly successively ψ-hemicontractive operator modified multi-step Ishikawa iteration with error convergence
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参考文献12

  • 1[1]Rhoades B E,Sohuz S M.The Equivalence Between Mann-Ishikawa Iterations and Multi-Step Iteration[J].Nonlinear Anal,2004,58:219-228. 被引量:1
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二级参考文献3

  • 1Zhou H Y,科学通报,1997年,42卷,2期,126页 被引量:1
  • 2Weng X L,Proc Am Math Soc,1991年,113卷,727页 被引量:1
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