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arxiv: 1503.08126 · v2 · pith:SQXIMA3Hnew · submitted 2015-03-27 · 🧮 math.GN

Answers to Kirk-Shahzad's questions on strong b-metric spaces

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keywords metricstronganswergivequestionquestionsspacesanswers
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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.

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