数学物理学报 ›› 2017, Vol. 37 ›› Issue (3): 401-415.

• 论文 •    下一篇

偏序偏度量空间中有理分式型广义弱压缩的公共不动点结果

宋际平1, 王茂发2   

  1. 1. 乐山师范学院数学与信息科学学院 四川乐山 614000;
    2. 武汉大学数学与统计学院 武汉 430072
  • 收稿日期:2016-09-07 修回日期:2017-01-13 出版日期:2017-06-26 发布日期:2017-06-26
  • 作者简介:宋际平,E-mail:songjp@lsnu.edu.cn;王茂发,E-mail:huwmf@163.com
  • 基金资助:
    国家自然科学基金(11271293)

Common Fixed Point Results for Generalized Weak Contractions with a Rational Expression in Ordered Partial Metric Spaces

Song Jiping1, Wang Maofa2   

  1. 1. School of Mathematics and Information Science, Leshan Normal University, Sichuan Leshan 614000;
    2 School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2016-09-07 Revised:2017-01-13 Online:2017-06-26 Published:2017-06-26
  • Supported by:
    Supported by the NSFC (11271293)

摘要: 在偏序完备偏度量空间中研究了四个映射的公共不动点问题,对满足某种带有理分式项的广义弱压缩条件的四个映射得到了一些公共不动点结果.证明了公共不动点唯一的一个充分条件,并给出一个例子予以说明.最后讨论了在同伦问题中的一个应用.

关键词: 偏序偏度量空间, 公共不动点, 广义弱压缩

Abstract: In this paper, some common fixed point results for four mappings satisfying generalized weakly contractive conditions with a rational type expression are obtained in partially ordered complete partial metric spaces. A sufficient condition for the uniqueness of common fixed point is proved, an examples are given to support our results, and also, a homotopy result, as an application, is discussed.

Key words: Partially ordered partial metric space, Common fixed point, Generalized weak contraction

中图分类号: 

  • O177.91