International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 514747, 9 pages
doi:10.1155/2010/514747
Research Article

Some Properties of Fuzzy Quasimetric Spaces

Department of Mathematics and Statistics, Sultan Qaboos University, Muscat 123, Oman

Received 10 September 2009; Accepted 10 January 2010

Academic Editor: Jerzy Dydak

Copyright © 2010 Abdul Mohamad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any M^-complete fuzzy-quasi-space is a d^-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.