b-度量空间中弱压缩映射的强收敛定理
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  • 英文篇名:A Strong Convergence Theorem for Weak Constractive Mappings in B-Metric Spaces
  • 作者:刘信东
  • 英文作者:LIU Xindong;School of Mathematics,Yibin University;
  • 关键词:b-度量空间 ; 弱压缩映射 ; Picard迭代 ; 不动点
  • 英文关键词:b-metric space;;weak contractive mapping;;picard iterative;;fixed point
  • 中文刊名:YBSG
  • 英文刊名:Journal of Yibin University
  • 机构:宜宾学院数学学院;
  • 出版日期:2014-03-28 17:12
  • 出版单位:宜宾学院学报
  • 年:2014
  • 期:v.14;No.185
  • 基金:宜宾学院青年基金资助项目(2007Q22)
  • 语种:中文;
  • 页:YBSG201406007
  • 页数:2
  • CN:06
  • ISSN:51-1630/Z
  • 分类号:22-23
摘要
定义了b-度量空间中弱压缩映射,证明了由Picard迭代生成的序列强收敛到弱压缩映射的一个不动点.改进和推广了Fat.ma等人的研究结果.
        In b-metric space,weak constraction was introduced.The sequence generated by picard iterative strongly converge to a fixed point of weak constraction.The result extends and improves the corresponding results announced by Fatma etc.
引文
[1]Fatma A S.Fixed point theorems for weak contractions in cone metric spaces[J].Int Journal of Math Analysis,2010,7(48):2367-2372.
    [2]Razani A,Bagherboum M.Convergence and stability of Jungck-type iterative procedures in convex b-metric spaces[J/OL].Fixed Point Theory and Applications 2013,2013:331.http://www.fixedpointtheoryandapplications.com/content/2013/1/331.
    [3]Bakhtin I A.The contraction mapping principle in almost metric spaces[J].Funct Anal,Gos Ped Inst Unianowsk 1989,30,26-37.
    [4]Czerwik S.Contraction mappings in b-metric spaces[J].Acta Mathematica et Informatica Universitatis Ostraviensis,1993,1:5-11.
    [5]Czerwik S.Nonlinear set-valued contraction mappings in b-metric spaces[J].Atti Semin Mat Fis Univ Modena Reggio Emilia,1998,46:263-276.

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