T_1—半度量空间中的不动点定理  

The fixed point theorem in T_1—quasi metric spaces

作　　者：黄艺婉 柴国庆 HUANG Yi-Wan;CHAI Guo-Qing(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2018年第4期40-45,共6页Journal of Hubei Normal University：Natural Science

摘　　要：结合半度量空间的相关概念,建立了半度量空间中的若干不动点定理,改进并推广了完备度量空间上相应的不动点,定理的结果.用左(右)完备性去替代通常度量空间中的完备性,用T_1-半度量空间的条件或用左(右)收敛与左(右)极限,证明其极限的唯一性.In this paper,several fixed point theorems for quasi metric spaces are established with the concept of quasi metric space,and the relevant results in the literature are improved and generalized.It is used to replace the complete completeness of the measurement space with weak completeness,and the uniqueness is proved by the condition of T1-asymmetric metric space or the definition of left(right)convergence and left(right)limit.

关 键 词：半度量空间 左(右)柯西序列 φ压缩 不动点 左(右)收敛 左(右)极限 

分 类 号：O177[理学—数学]