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关于一种严格伪压缩映象Mann迭代序列的强收敛性 被引量:4

The strong convergence of a modified Mann iteration for strictly pseudocontractive maps
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摘要 证明了在H ilbert空间中非空有界闭凸集上的严格伪压缩自映象有不动点,介绍了一种关于严格伪压缩映象的M ann迭代序列并证明了其强收敛于不动点,其结果把非扩展映象推广到严格伪压缩映象,从而推广了近代一些相关结果. A strictly pseudocontractive map from a nonempty bounded closed convex subset of a Hi/bert space into itself was showed to have fixed points. An iterative sequence of modified Mann type for strictly pseudocon-tractive maps was introduced and a modified Mann iteration processes strongly converges to a fixed point was proved. The results improved and extended some recent results.
出处 《浙江师范大学学报(自然科学版)》 CAS 2006年第4期378-381,共4页 Journal of Zhejiang Normal University:Natural Sciences
基金 浙江省教育厅科研基金资助项目(20020868)
关键词 严格伪压缩映象 强收敛 度量投影 不动点 半闭映象 strictly pseudocontractive map strong convergence metric projection fixed points demiclosed maps
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参考文献8

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同被引文献23

  • 1沈自飞,杨敏波,王亚琴.渐近伪压缩映象的收敛性定理[J].数学年刊(A辑),2005,26(5):669-674. 被引量:4
  • 2姚永红,陈汝栋,周海云.非扩张映象不动点的迭代算法[J].数学学报(中文版),2007,50(1):139-144. 被引量:6
  • 3张石生.Banach空间中非扩张映象的黏性逼近方法[J].数学学报(中文版),2007,50(3):485-492. 被引量:13
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