数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 1-16.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.001

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序锥度量空间中涉及距离改变函数的拟压缩的公共不动点结果

  

  1. School of Mathematics and Information Science, Leshan Normal University.  School of Mathematics and Statistics, Wuhan University
  • 收稿日期:2015-03-05 出版日期:2018-03-30 发布日期:2020-10-09
  • 作者简介:SONG Ji-ping(1963-), male, native of Danling, Sichuan, an associate professor of Leshan Normal University, M.S.D, engages in functional analysis and its applications.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11271293);

Common Fixed Point Results for Quasi-contractions Involving Altering Distance Functions in Ordered Cone Metric Spaces

  1. School of Mathematics and Information Science, Leshan Normal University.  School of Mathematics and Statistics, Wuhan University
  • Received:2015-03-05 Online:2018-03-30 Published:2020-10-09
  • About author:SONG Ji-ping(1963-), male, native of Danling, Sichuan, an associate professor of Leshan Normal University, M.S.D, engages in functional analysis and its applications.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11271293);

摘要: Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results. 

关键词: partially ordered cone metric space, quasi-contraction, common fixed point, altering distance function

Abstract: Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results. 

Key words: partially ordered cone metric space, quasi-contraction, common fixed point; altering distance function

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