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平均非扩张映射的三种迭代收敛的等价性
  • ISSN号：1001-8735
  • 期刊名称：《内蒙古师范大学学报：自然科学汉文版》
  • 时间：0
  • 分类：O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]广州城市职业学院基础课部,广东广州510405, [2]中山大学数学系,广东广州510275
  • 相关基金：国家自然科学基金资助项目（10871213）;广东省高校自然科学基金重点项目（052026）
作者： 梁嘉宁[1], 黎永锦[2]
关键词： MANN迭代, ISHIKAWA迭代, 平均非扩张映射, 收敛性, 不动点, Mann iteration, Ishikawa iteration, mean non-expensive mapping, convergence, fixed point
中文摘要：

设X为一致凸Banach空间，T为平均非扩张映射，证明了平均非扩张映射T的某些Ishikawa迭代序列与Mann迭代序列的收敛性是等价的。

英文摘要：

Let X is a uniformly convex Banach space,and let T is a Mean non-expensive mapping. The corresponding Picard iteration,the Mann iteration and the Ishikawa ieration are equivalent when applied to Mean non-expensive mapping is proved.

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期刊信息
  • 《内蒙古师范大学学报：自然科学汉文版》
  • 北大核心期刊（2011版）
  • 主管单位:内蒙古自治区教育厅
  • 主办单位:内蒙古师范大学
  • 主编：陈汉忠
  • 地址：呼和浩特市赛罕区昭乌达路81号
  • 邮编：010022
  • 邮箱：nmsb@imnu.edu.cn
  • 电话：0471-4393042
  • 国际标准刊号：ISSN：1001-8735
  • 国内统一刊号：ISSN：15-1049/N
  • 邮发代号:16-77
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4138