D-度量空间上满足膨胀条件的两个映射的唯一公共不动点  

Unique common fixed points for two mappings satisfying expansive conditions on D-metric spaces

作　　者：朴勇杰[1] 龚学[1] 徐佳宁[1] 吴凡[1] 

机构地区：[1]延边大学理学院,延吉133002

出　　处：《黑龙江大学自然科学学报》2015年第4期428-432,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11361064);延边大学本科生科研项目(ydbksky2015189)

摘　　要：利用D-度量空间上满足某种膨胀条件的两个满自映射S和T,构造具有唯一极限的序列,证明S和T在某种附加条件下具有唯一公共不动点,得到更为一般形式的无穷多个映射的唯一公共不动点定理,推广和改进了D-度量空间上的唯一公共不动点定理。Two surjective self-mappings S and T satisfying some expansive conditions on D-metric spaces are used to construct a sequence which has a unique limit. It is shown that S and T have a unique common fixed point under some additional conditions. Furthermore,a more general unique common fixed point theorem for a family of self-mappings is obtained. The obtained results generalize and improve some unique common fixed point theorems on D-metric spaces.

关 键 词：D-度量空间 序列 膨胀条件 公共不动点 

分 类 号：O177.3[理学—数学] O189.11[理学—基础数学]