THE COMPLETION OF GENERALIZED B-METRIC SPACES AND FIXED POINTS

被引：28
作者：
Cobzas, Stefan [1 ]
Czerwik, Stefan [2 ]
机构：
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania
[2] Silesian Tech Univ, Inst Math, Gliwice, Poland
来源：
FIXED POINT THEORY | 2020年 / 21卷 / 01期
关键词：
Metric space; metrizability; b-metric space; generalized b-metric space; completion of a generalized b-metric space; fixed point; LIPSCHITZ; THEOREMS;
D O I：
10.24193/fpt-ro.2020.1.10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of generalized b-metric, as a b-metric which can take infinite values, and prove the existence and uniqueness of the completion of some particular b-metric spaces (called generalized strong b-metric spaces). Some fixed point results in b-metric spaces and their counterparts in generalized b-metric spaces are proved.
引用
收藏
页码：133 / 150
页数：18
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