IJPAM: Volume 103, No. 3 (2015)
THE PROBABILISTIC HAUSDORFF QUASI-METRIC
AND RIGHT K-COMPLETENESS
AND RIGHT K-COMPLETENESS
Abderrahim Mbarki
, Abedelmalek Ouahab
, Rachid Naciri
National School of Applied Sciences
P.O. Box 669, Oujda University
Matsi Laboratory, MOROCCO
Department of Mathematics
Oujda University
60000, Oujda Morocco, Matsi Laboratory, NOROCCO
Matsi Laboratory
Oujda University
60000, Oujda, MOROCCO




P.O. Box 669, Oujda University
Matsi Laboratory, MOROCCO

Oujda University
60000, Oujda Morocco, Matsi Laboratory, NOROCCO

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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This work is licensed under the Creative Commons Attribution International License (CC BY).