On two questions of A. Petruşel and G. Petruşel in b-metric fixed point theory
Using the b-metric metrization theorem , fixed point results in the setting of b-metric spaces proved in [10, 11, 12] and some others may be seen as consequences of Ran–Reurings fixed point theorem in the classical metric spaces [13, Theorem 2.1]. This gives a partial answer to the question in [12, Remark 3.(2)].
Using the product space of two JS-metric spaces, main results of  and some others in the setting of b-metric spaces can be extended to the setting of JS-spaces. This answers the question in [12, Open question on page 1809].
Keywordsb-metric JS-metric fixed point metrization
Mathematics Subject Classification47H10 54H25
The authors are greatly indebted to anonymous reviewers for their helpful comments to revise the paper.
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