IJPAM: Volume 103, No. 3 (2015)

THE PROBABILISTIC HAUSDORFF QUASI-METRIC
AND RIGHT K-COMPLETENESS

Abderrahim Mbarki$^1$, Abedelmalek Ouahab$^2$, Rachid Naciri$^3$
$^1$National School of Applied Sciences
P.O. Box 669, Oujda University
Matsi Laboratory, MOROCCO
$^2$Department of Mathematics
Oujda University
60000, Oujda Morocco, Matsi Laboratory, NOROCCO
$^3$Matsi Laboratory
Oujda University
60000, Oujda, MOROCCO


Abstract. By considering probabilistic quasi-(pseudo-)metric spaces, we introduce and study the concept of probabilistic Hausdorff quasi-(pseudo-)metric metric that extend the corresponding notions of probabilistic Hausdorff metric. Finally completeness property of this notion are explored.

Received: May 20, 2015

AMS Subject Classification: 54E70, 54A40, 54B20

Key Words and Phrases: probabilistic quasi-metric space, probabilistic Hausdorff quasi-metric, right K-completeness

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DOI: 10.12732/ijpam.v103i3.15 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 3
Pages: 547 - 556


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