Some remarks concerning \(D^{*}\)-metric spaces

Volume 22, Issue 2, pp 128--130 http://dx.doi.org/10.22436/jmcs.022.02.04
Publication Date: July 16, 2020 Submission Date: May 18, 2020 Revision Date: June 03, 2020 Accteptance Date: June 15, 2020

Authors

Zead Mustafa - Department of Mathematics, Statistics and Physics , Qatar University, Doha , Qatar. M. M. M. Jaradat - Department of Mathematics, Statistics and Physics , Qatar University, Doha , Qatar.


Abstract

In [S. Sedghi, N. Shobe, H. Y. Zhou, Fixed Point Theory Appl., {\bf 2007} (2007), 13 pages], Sedghi et al. introduced the notion of \(D^{*}\)-metric space and in [S. Sedghi, N. Shobe, A. Aliouche, Mat. Vesnik, \(\bf 64\) (2012), 258--266] the authors claimed that every \(G\)-metric space is \(D^{*}\)-metric. In this short paper we present examples to show that \(D^{*}\)-metric need not be \(G\)-metric as well as the \(G\)-metric need not be \(D^{*}\)-metric.


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ISRP Style

Zead Mustafa, M. M. M. Jaradat, Some remarks concerning \(D^{*}\)-metric spaces, Journal of Mathematics and Computer Science, 22 (2021), no. 2, 128--130

AMA Style

Mustafa Zead, Jaradat M. M. M., Some remarks concerning \(D^{*}\)-metric spaces. J Math Comput SCI-JM. (2021); 22(2):128--130

Chicago/Turabian Style

Mustafa, Zead, Jaradat, M. M. M.. "Some remarks concerning \(D^{*}\)-metric spaces." Journal of Mathematics and Computer Science, 22, no. 2 (2021): 128--130


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