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3种迭代的收敛的等价性(Ⅱ) 被引量:1

Equivalence Among the Convergence of Three Kinds of Iterations(Ⅱ)
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摘要 若T是强逐次伪压缩映射时,则三种迭代(改进的Mann迭代,改进的Ishikawa迭代和改进的三重迭代)的收敛性是等价的. The convergences of three kinds of iterations(modified Mann iterations, modified Ishikawa iterations and modified three-step iterations)are equivalent, if T is a strongly successively pseudocontractive.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2007年第1期1-3,共3页 Journal of Hebei University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471033)
关键词 MANN迭代 ISHIKAWA迭代 三重迭代 强逐次伪压缩映射 Mann iterations Ishikawa iterations three-step iterations strongly successively pseudocontractive map
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参考文献7

  • 1MANN W R. Mean value in iteration[J] .Amer Math Soc, 1953,4:506-510.
  • 2ISHIKAWA S. Fixed points by new iteration method[J]. Proc Amer Math Soc, 1974, 44.147-150.
  • 3RHOADES B E, SOLTUZ S M. The equivalence the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps[J]. J Math Anal Appl, 2004,289:266-278.
  • 4NOOR M A, T M RASSIAS, HUANG Z Y. Three-step iterations for nonlinear accretive operator equations[J]. J Math Anal Appl, 2002, 274:59-68.
  • 5WENG X. Fixed point iteration for local strictly pseudocontractive mapping[J]. Proc Amer Math Soc, 1991,113:727-731.
  • 6MORALES C, JUNG J S. Convergence of paths for pseudocontractive mappings in Banach spaces[J]. Proc Amer Math Soc,2000,128:3411-3419.
  • 7石金玮,郑亚勤.3种迭代收敛的等价性[J].河北大学学报(自然科学版),2005,25(1):16-19. 被引量:2

二级参考文献5

  • 1ISHIKAWA S.Fixed points by new iteration method[J].Proc Amer Math Soc,1974,44:147-150.
  • 2MANN W R.Mean value in iteration[J].Amer Math Soc,1953,4:506-510.
  • 3RHOADES B E,STEFAN M S.The equivalence the convergences of Ishikawa and Mann iterations for an asymoptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps[J].J Math Anal Appl,2004,289:266-278.
  • 4NOOR M A,RASSIAS T M,HUANG Z Y.Three-step iterations for nonlinear acretive operator equations[J]. J Math Anal Appl,2002,274:59-68.
  • 5WENG X.Fixed point iteration for local strictly pseudocontractive mapping[J].Proc Amer Math Soc,1991,113:727-731.

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