锥度量空间中满足φ压缩的一族映射的公共不动点定理（英文）  

Fixed Point Theorems of φ-contraction for a Family of Mappings in Cone Metric Spaces

作　　者：韩艳[1] 许绍元[2] 

机构地区：[1]昭通学院数学与统计学院,云南昭通657000 [2]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《应用数学》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

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.

关 键 词：锥度量空间 弱φ压缩 公共不动点 

分 类 号：O177.91[理学—数学]