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一般Banach空间中非Lipschitzian可逆半群的不动点定理
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O152.7[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：国家自然科学基金（No.10571150,No.10971182）和江苏省教育厅高校自然科学研究基金（No.07KJB110131）资助的项目. 致谢 衷心感谢审稿人提出的宝贵意见和建议.
作者： 朱兰萍[1], 李刚[1]
关键词： 不动点, 渐近非扩张型映射, 左可逆半群, Fixed point, Asymptotically nonexpansive type mapping, Leftreversible semigroup
中文摘要：

首先在一般Banach空间中对渐近非扩张型左可逆半群给出了两个不动点存在性定理.同时利用这些结果,得到了渐近非扩张型左可逆半群迭代序列的强收敛定理.主要结果将一些已知结果推广至非Lipschitzian左可逆半群的情形,而且即使在交换半群情形它们也是新的.

英文摘要：

This paper first provides two existence theorems of fixed points for left reversible semigroups of asymptotically nonexpansive type mappings in general Banach spaces. Using these results, the authors also obtain a strong convergence theorem of iterative sequences for left reversible semigroups of asymptotically nonexpansive type mappings. The results extend some known results to the case of the left reversible semigroups of non-Lipschitzian mappings and they are new even in the case of commutative semigroups.

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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:4264