一类广义弱压缩条件的同伦不动点存在性定理
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  • 英文篇名:A Class of Generalized Weak Compression Conditions Existence Theorem of Homotopy Fixed Point
  • 作者:马芙玲
  • 英文作者:Ma Fu-ling;Department of Public Courses,Zhongshan Torch polytechnic;
  • 关键词:偏序度量空间 ; 广义弱压缩条件 ; 不动点 ; 偏序集 ; 线性映射
  • 英文关键词:partial order metric space;;generalized weak compression conditions;;fixed point;;poset;;linear mapping
  • 中文刊名:GKSX
  • 英文刊名:College Mathematics
  • 机构:中山火炬职业技术学院公共课部;
  • 出版日期:2015-04-15
  • 出版单位:大学数学
  • 年:2015
  • 期:v.31;No.178
  • 语种:中文;
  • 页:GKSX201502019
  • 页数:6
  • CN:02
  • ISSN:34-1221/O1
  • 分类号:91-96
摘要
在偏序度量空间中引入了广义弱压缩映射条件,证明了同伦不动点的存在性定理,推广了原有的某些结果.
        This paper introduces a generalized weak contraction mapping conditions in partial ordering metric space,proves the existence theorem of homotopy fixed point,and extends some of the original results.
引文
[1]Matlhews S G.Partial metric topology[C].Roc 8th Summer Conference on General Topology and Applocations,Ann New York Acard.Sci,1994,728:183-197.
    [2]Ram ACM,Reuring,MC.A fixed point throrem in partially ordered sets and some applications to matrix equations[J].ProcAm.Math Soc,2004,132:1435-1443.
    [3]Abbas M,Nazir T.Fixed point of generalized weakly contractive mappings in ordered partial metric spaces[J].Springer-Verlag,2012,1:1687-1812.

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