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半线性椭圆方程的多解问题
  • ISSN号：1000-5471
  • 期刊名称：西南师范大学学报(自然科学版)
  • 时间：2013
  • 页码：1-4
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆400715, [2]重庆市第一中学校,重庆400030
  • 相关基金：国家自然科学基金资助项目（11071198）; 河南省科技发展计划（122300410256）; 河南省教育厅自然科学研究项目（2011B110025）
  • 相关项目：Hamilton系统的同宿轨与椭圆系统的边值问题
作者： 唐悦|吴行平|唐春雷|
关键词： CAT(κ)空间, 非扩张映射, ISHIKAWA迭代序列, Δ-收敛, CAT（κ） space, non-expansive mapping, Ishikawa iteration sequence, Δ-convergence
中文摘要：

在CAT（κ）空间中研究了非扩张映射的不动点的存在性问题.引进了CAT（κ）空间中的Δ-收敛性,得到了CAT（κ）空间中一个重要的不等式.在此基础上研究了非扩张映射的Ishikawa迭代序列的收敛性问题,得到了在CAT（κ）空间中非扩张映射的Ishikawa迭代序列Δ-收敛到不动点的定理.

英文摘要：

The existence of fixed point in CAT（κ） space has been studied in this article.Firstly,the definition of Δ-convergence in CAT（κ） space is applied in the article before an important inequality in CAT（κ） space has been studied.On this basis,the convergence of non-expansive mappings for the Ishikawa iterative sequence has been studied.Finally,in CAT（κ） space,non-expansive mappings for the Ishikawa iterative sequence Δ-convergence to fixed point has been obtained in the article.

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Hamilton系统的同宿轨与椭圆系统的边值问题
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期刊信息
  • 《西南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400715
  • 邮箱：xhtang@swu.cn
  • 电话：023-68252540
  • 国际标准刊号：ISSN：1000-5471
  • 国内统一刊号：ISSN：50-1045/N
  • 邮发代号:78-22
  • 获奖情况:
  • 全国高校优秀学报,重庆市十佳科技期刊,重庆市一级期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,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:17791