摘要
本文定义弱φ压缩的概念,由此获得三个映射的公共不动点定理,进而获得一族映射的公共不动点定理.且不要求映射的连续性和锥的正规性.这些结果推广了相关文献中一些重要结论.此外,我们给出了相应的例子来支持所得结果.
In this paper, we define the concept of weakly φ-contraction, and obtain common fixed point theorems for three mappings and a family of mappings. The mappings are not necessarily continuous and the cone is not assumed to be normal. These results generalize several well-known comparable results. Moreover, an example is given to support our new results.
出处
《应用数学》
CSCD
北大核心
2015年第4期782-792,共11页
Mathematica Applicata
基金
Supported by the Foundation of Education Ministry,Yunnan Province,China(2013Y578)
the Foundation of the Research Item of Strong Department of Engineering Innovation,which is sponsored by Hanshan Normal University,China in 2013
关键词
锥度量空间
弱φ压缩
公共不动点
Cone metric space
Weakly φ-contraction
Common fixed point
