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The Equivalence of Ishikawa-Mann and Multistep Iterations in Banach Space

The Equivalence of Ishikawa-Mann and Multistep Iterations in Banach Space
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摘要 Let E be a real Banach space and T be a continuous Φ-strongly accretive operator. By using a new analytical method, it is proved that the convergence of Mann, Ishikawa and three-step iterations are equivalent to the convergence of multistep iteration. The results of this paper extend the results of Rhoades and Soltuz in some aspects. Let E be a real Banach space and T be a continuous Φ-strongly accretive operator. By using a new analytical method, it is proved that the convergence of Mann, Ishikawa and three-step iterations are equivalent to the convergence of multistep iteration. The results of this paper extend the results of Rhoades and Soltuz in some aspects.
作者 Liping Yang
基金 Supported by the Nature Science Foundation of Guangdong Province (020163).
关键词 巴拿赫空间 泛函分析 叠代 等价性 Φ-strongly accretive operator Φ-strongly pseudocontractive operator continuous Mann iteration Ishikawa iteration multistep iteration.
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参考文献14

  • 1Liu Zenqi.Convergence theorems for φ-strongly accretive and φ-hemicontractive operators[J],2001(1).
  • 2Rhoades B E;Soltuz S M.The equivalence between Mann-Ishikawa iterations and multistep iteration[J],2004(1-2).
  • 3Ishikawa S.Fixed point by a new iteration method,1974.
  • 4Weng X.Fixed point iteration for local strictly pseudocontractive mapping,1991.
  • 5Morales C;Jung J S.Convergence of paths for pseudocontractive mappings in Banach space[J],2000(11).
  • 6Kato T.Nonlinear semigroups and evolution equations[J],1967.
  • 7Browder F E.Nonlinear mappings of nonexpansive and accretive type in Banach spaces,1967.
  • 8Chidume C E.Iterative solution of nonlinear equations with strongly accretive operators[J],1995.
  • 9Chidume C E.Approximation of fixed point of strictly pseudocontractive mappings,1994.
  • 10Chidume C E.Iterative solution of nonlinear equations in smooth Banach spaces,1996.

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