Publication date
January 2014
DOI Publisher
Hindawi Limited ISSN
2314-8896 Journal
issn:2314-8888Abstract
We construct a class of continuous quasi-distances in a product of metric spaces and show that, generally, when the parameter λ (as shown in the paper) is positive, d is a distance and when λ<0, d is only a continuous quasi-distance, but not a distance. It is remarkable that the same result in relation to the sign of λ was found for two other classes of continuous quasi-distances (see Peppo (2010a, 2010b) and Peppo (2011)). This conclusion is due to the fact that E is a product space. For the purposes of our main result, a notion of density in metric spaces is introduced
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