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m-增生算子弱压缩迭代序列的强收敛性 被引量：1

Strong convergence of a modified iterative process for pseudocontractive mappings
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摘要 设X为一致光滑Banach空间,设C是X的闭子集,A是m-增生算子,f:C→C是一弱压缩映射,引入关于m-增生算子的弱压缩复合迭代序列,证明了该序列{xn}强收敛于A的一个零点,推广了一些迭代的相关结果. Let X is a uniformly smooth Banach space, C is a closed subset of X, and A is an m-accretive operator with a zero. We＇ ll consider the weakly contractive composite iterative method which generates the sequence {xn}. yn=（1-αn）x0＋αnJrnxn, x（n＋1）=βnf（xn）＋（1-βn）Jrn, yn, and prove it strongly converges to a zero point of A,where {αn},{βn} ,{rn} satisfy certain conditions , f： C→C is a Ф-weakly contractive mapping.
作者 郑小慧 王元恒
机构地区 浙江师范大学数理与信息工程学院
出处 《南阳师范学院学报》 CAS 2009年第6期1-4,共4页 Journal of Nanyang Normal University
基金 国家自然科学基金资助项目(10771141)
关键词 一致光滑BANACH空间 M-增生算子 弱压缩 算子零点 uniformly smooth Banach spaces m-accretive operator weakly contractive mapping zero points of operator
分类号 O177.91 [理学—基础数学]
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参考文献6

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共引文献4

同被引文献7

  • 1Yao Y, Chen R, Yao J C. Strong convergence and certain control conditions for modified Mann iteration [ J ]. Nonlinear Anal ,2008,68 : 1687 - 1693.
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  • 4Xu H K. Viscosity approximation for nonexpansive mappings [ J ]. J Math. Anal. Appl. ,2004,298 : 279 - 291.
  • 5Plubtieng S,Wangkeeree R. Strong convergence of modified Mann iterations for a countable family of nonexpansive mappings[J]. Nonlincar Anal. ,2009,70:3110-3118.
  • 6Suzuki T. Strong convergence of krasnoselskii and Mann's type sequence for one-parameter nonexpansive semigroups without Boachner integrals [ J ]. J. Math. Anal. Appl. ,2005,305:227 - 239.
  • 7王元恒,曾六川.Banach空间中广义投影变形迭代法的收敛性[J].数学年刊（A辑）,2009,30(1):55-62. 被引量：14

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南阳师范学院学报
2009年 第6期

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