An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces

We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In parti...

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Bibliographic Details
Main Authors: Nguyen Van Dung, Vo Thi Le Hang, Diana Dolicanin-Djekic
Format: Article
Language:English
Published: Universitat Politècnica de València 2017-10-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/5185