## Taiwanese Journal of Mathematics

### Answers to Kirk-Shahzad's Questions on Strong $b$-metric Spaces

#### Abstract

In this paper, two open questions on strong $b$-metric spaces posed by Kirk and Shahzad [11, Chapter 12] are investigated. A counterexample 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.

#### Article information

Source
Taiwanese J. Math., Volume 20, Number 5 (2016), 1175-1184.

Dates
First available in Project Euclid: 1 July 2017

https://projecteuclid.org/euclid.twjm/1498874523

Digital Object Identifier
doi:10.11650/tjm.20.2016.6359

Mathematical Reviews number (MathSciNet)
MR3555895

Zentralblatt MATH identifier
1357.54039

#### Citation

An, Tran Van; Dung, Nguyen Van. Answers to Kirk-Shahzad's Questions on Strong $b$-metric Spaces. Taiwanese J. Math. 20 (2016), no. 5, 1175--1184. doi:10.11650/tjm.20.2016.6359. https://projecteuclid.org/euclid.twjm/1498874523

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