MMN-1139

Remarks on quasi-metric spaces

N. V. Dung;

Abstract

In this paper, we prove some properties of quasi-metric spaces and state some fixed point theorem in this setting. As applications, we show that most of recent results on $G$-metric spaces in [M. Asadi, E. Karapinar, and P. Salimi, A new approach to $G$-metric and related fixed point theorems, J. Inequal. Appl. 2013:454 (2013), 1 - 14], [E. Karapinar and R. P. Agarwal, Further remarks on $G$-metric spaces, Fixed Point Theory Appl. 2013:154 2013), 1 - 14] may be also implied from certain fixed point theorems on quasi-metric spaces.


Vol. 15 (2014), No. 2, pp. 401-422
DOI: https://doi.org/10.18514/MMN.2014.1139


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