数学物理学报 ›› 2019, Vol. 39 ›› Issue (2): 235-243.

• 论文 • 上一篇    下一篇

度量空间上具有ϕ-压缩条件的映射族的重合点和公共不动点

朴勇杰()   

  1. 延边大学理学院数学系 吉林延吉 133002
  • 收稿日期:2017-12-14 出版日期:2019-04-26 发布日期:2019-05-05
  • 作者简介:朴勇杰, E-mail: sxpyj@ybu.edu.cn
  • 基金资助:
    国家自然科学基金(11361064)

Coincidence Points and Common Fixed Points for Mappings with ϕ-Contractive Conditions on Metric Spaces

Yongjie Piao()   

  1. Department of Mathematics, College of Science, Yanbian University, Jilin Yanji 133002
  • Received:2017-12-14 Online:2019-04-26 Published:2019-05-05
  • Supported by:
    the NSFC(11361064)

摘要:

在度量空间上得到满足ϕ-收缩条件的集值映射及单值映射的公共不动点和重合点存在性定理,同时给出若干个不动点定理.

关键词: 公共不动点, 重合点, 弱相容, ϕ-压缩

Abstract:

We obtain the existence theorems of common fixed points and coincidence points for multi-valued mappings and single-valued mappings satisfying ϕ-contractive type conditions on metric spaces, also give several fixed point theorems.

Key words: Common fixed point, Coincidence point, Weakly compatible, ϕ-Contraction

中图分类号: 

  • O177.3