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几乎逐次渐近Φ-强半伪压缩型有限算子族的多步迭代程序的收敛性

The convergence of multi-step iterations for a finite family of almost successively asymptotically strongly Φ-hemicontractive type operations
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摘要 对逐次广义Lipschitz连续的几乎逐次渐近Φ-强半伪压缩型有限算子族,研究了一致光滑Banach空间中具误差的修正多步Noor迭代子序列强收敛于该算子族的唯一公共不动点. The problems which modified multi-step Noor iterations with errors converging strongly toward a unique common fixed point are invesgated for a finite family of successively generalized Lipschitz continuous and almost successively asymptotically strongly Ф-hemicontractive type operators in uniformly smooth Babach spaces.
作者 刘晓云 曾六川
机构地区 上海师范大学数理学院
出处 《上海师范大学学报（自然科学版）》 2012年第1期31-38,共8页 Journal of Shanghai Normal University(Natural Sciences)
基金 校基础数学重点学科建设经费(DZL803) 上海市教委创新项目(09ZZ133)
关键词 几乎逐次渐近Φ-强半伪压缩型有限算子族 逐次广义Lipschitz连续 收敛性 finite family of almost successively asymptotically strongly Ф-hemicontractive type operators successively general-ized Lipschitz continuous operator convergence
分类号 O177.91 [理学—基础数学]
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参考文献10

  • 1HUANG Z Y. Equivalence theorems of the convergence between ishikawa and nann iterations with errors for generalized strongly successively Φ -pseudocontractive mappings without Lipschitzian assumptions [ J ]. J Math Anal Appl,2007,329: 935 - 947.
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  • 4NI R X, YU L Y. The concergences of multi-step iterations for a finit family of successively strongly Φ - hemicontractive type operators, Aeta Mathematiea Sinica [ J ]. Chinese Series,2010,53 (3) :477 - 488.
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上海师范大学学报（自然科学版）
2012年 第1期

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