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有限多个集值映象公共不动点的修正的Mann迭代程序
  • ISSN号：1000-5137
  • 期刊名称：《上海师范大学学报：自然科学版》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]上海师范大学数理信息学院,上海200234
  • 相关基金：国家自然科学基金（10771141）.
作者： 金燕群[1], 曾六川[1]
关键词： 修正的Mann迭代程序, 集值似Ф-伪压缩映象, 公共不动点, 似广义Lipschitzian条件, 强收敛性, modified mann iterative procedure, set-valued Ф -pseudocontractive-like mapping, common fixed point, generalizedlipschitzian-like condition, strong convergence
中文摘要：

研究用于寻求有限多个集值似Ф-伪压缩映象公共不动点的修正的Mann迭代程序．在似广义Lipschitzian条件下证明了分别在Hilbea空间与一致光滑Banach空间中由修正的Mann迭代程序生成的序列强收敛到这有限多个集值似Ф-伪压缩映象唯一的公共不动点.

英文摘要：

We study the modified Mann iterative procedure for finding common fixed points of finitely many set-valued Ф-pseudo- contractive-like mappings. It is shown that under the generalized-Lipschitzian-like condition the sequence generated by the modified Mann iterative procedure converges strongly to the unique common fixed point of these finitely many set-valued Ф -pseudocontractive-like mappings in a Hilbert space and in a uniformly smooth Banach space, respectively.

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具广义单调性的最优化问题与不动点问题的理论与算法
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期刊信息
  • 《上海师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:上海市教育委员会
  • 主办单位:上海师范大学
  • 主编：丛玉豪
  • 地址：上海市桂林路100号
  • 邮编：200234
  • 邮箱：xuebao@shnu.edu.cn
  • 电话：021-64322304
  • 国际标准刊号：ISSN：1000-5137
  • 国内统一刊号：ISSN：31-1416/C
  • 邮发代号:4-655
  • 获奖情况:
  • 2010年获教育部“中国科技论文在线优秀期刊”二等奖,2011年获中国高校科技期刊研究会第二届全国高师学...,2013年获中国高校科技期刊研究会高师学报系统的“...
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  • 德国数学文摘,中国中国科技核心期刊
  • 被引量:3487