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Banach空间中渐近非扩张非自身映射带误差Noor迭代的收敛性定理
  • 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]扬州大学数学科学学院,江苏扬州225002
  • 相关基金：Foundation item： Supported by the National Science Foundation of China （10971182）, the Natural Sci- ence Foundation of Jiangsu Province （BK2009179, BK2010309）, the Tianyuan Youth Foundation （11026115）, the Natural Science Foundation of Jiangsu Education Comittee （07KJB110131, 10KJB110012）, the Natural Science Foundation of Yangzhou University（2009CXJ001）
作者： 黄强联[1], 胡燕[1], 高双云[1]
关键词： 渐近非扩张非自身映射, Kadec—Klee性质, OPIAL条件, 一致凸BANACH空间, 公共不动点, Asymptotically nonexpansive nonsetf mapping, Kadec-Klee property, Opial＇s condition, Uniformly convex Banach space,Common fixed point
中文摘要：

本文主要对三个渐近非扩张非自身映射引入了一种新的投影型Noor迭代程序，并在一致凸Banach空间中给出了该Noor迭代序列的弱与强收敛性定理．我们的主要结果推广和改进了该领域许多近期的结果．

英文摘要：

In this paper, we introduce a new projection type Noor iterative scheme for three asymptotically nonexpansive nonself mappings. Weak and strong convergence theorems are established for this new Noor iterative scheme in a uniformly convex Banach space. The results obtained in this paper extend and improve many recent results in this area.

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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:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139