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关于严格伪压缩映象的Ishikawa迭代逼近的收敛率估计 被引量:2

Convergence Rate Estimate of Ishikawa Iterative Approximations for Strictly Pseudocontractive Mappings
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摘要 研究Banach空间X中Lipschitz严格伪压缩映象不动点的Ishikawa迭代逼近问题,所得结果提供了Ishikawa迭代序列的一般的收敛率估计。 Study the Ishikawa iterative approximation problem of fixed points for Lipschitzian strictly pseudocontractive mappings in a Banach space X. The result presented in this paper provides the general convergence rate estimate for the Ishikawa iterative sequence.
作者 曾六川
出处 《工程数学学报》 CSCD 北大核心 2003年第1期123-126,共4页 Chinese Journal of Engineering Mathematics
基金 国家教育部高等学校优秀青年教师教学和科研奖励基金资助项目 上海市科委(部分)资助的项目 上海市高校科技发展基金(部分)资助项目.
关键词 严格伪压缩 LIPSCHITZ映象 ISHIKAWA迭代逼近 不动点 收敛率估计 lipschitzian strictly pseudocontractive mapping Ishikawa iterative approximation fixed point convergence rate estimate
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二级参考文献2

  • 1Liwei Liu. Approximation of fixed points of a strictly pseudocontractive mapping [J ]. Proc. Amer.Math. Soc. 1997,125:1363~1366.
  • 2Sastry K P R and Babu G V R. Approximation of fixed points of strictly pseudocontractive mappings on arbitrary closed, convex sets in a Banach space[J]. Proc. Amer. Math. Soc. 2000,128:2907~2909.

共引文献4

同被引文献17

  • 1王绍荣,杨泽恒.增生算子方程的具误差的Ishikawa迭代序列的收敛率估计[J].工程数学学报,2004,21(6):967-972. 被引量:2
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