Tran Van An, Nguyen Van Dung
Published 2015-03-27Version 1
In this paper, two open questions on strong $b$-metric spaces posed by Kirk and Shahzad [11, Chapter 12] are investigated. A counter-example is constructed to give a negative answer to the first question, and a theorem on the completion of a strong $b$-metric space is proved to give a positive answer to the second question.
Controlled rectangular metric type spaces and some applications to polynomial equations
Special metrics
A weakly Lindelöf space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$
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