@article{Dung_Le Hang_Dolicanin-Djekic_2017, title={An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces}, volume={18}, url={https://polipapers.upv.es/index.php/AGT/article/view/5185}, DOI={10.4995/agt.2017.5185}, abstractNote={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 particular, every $C^*$-algebra-valued $b$-metric space is metrizable.}, number={2}, journal={Applied General Topology}, author={Dung, Nguyen Van and Le Hang, Vo Thi and Dolicanin-Djekic, Diana}, year={2017}, month={Oct.}, pages={241–253} }