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关于m-增生算子零点的粘性复合迭代序列的强收敛性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江师范大学数学研究所,浙江金华321004
  • 相关基金：国家自然科学基金（10771141）
作者： 王元恒[1], 潘灵荣[1]
关键词： M-增生算子, 复合迭代序列, 强收敛性, 一致光滑Banach空间, m- accretive operator, Composite iterative scheme, Strong convergence, Uniformly smooth Banach space
中文摘要：

在一致光滑的Banach空间的框架下，引入关于m-增生算子的一种新粘性复合迭代序列{xn}，并证明了在适当的控制条件下，此迭代序列强收敛于m-增生算子的一个零点，用不同方法推广了相关文献的近代结果．

英文摘要：

In the present paper a new composite iterative scheme { xn } is introduced, which approximate the zeros of an m- accretive operator A defined on uniform smooth Banach spaces. It is showed that the iterative process converges strongly to the zeros of A under some given conditions. The results here improve and extend some authors＇ related recently results.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139