Topological properties of L-partial pseudo-quasi- metric spaces
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Authors
Zhen-Yu Xiu
- College of Applied Mathematics, Chengdu University of Information Technology, 610000 Chengdu, China.
Bin Pang
- Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shenzhen, China.
Abstract
As an application of partial metrics and fuzzy set theory, the concept of L-partial pseudo-quasi-metric
spaces is introduced and its topological properties are investigated. It is shown that L-partial pseudo-quasi-
metrics are reasonable generalizations of partial pseudo-quasi-metrics and pointwise metrics in the sense of
Shi. Also, it is proved that an L-partial pseudo-quasi-metric space can be endowed with an L-cotopology
and a pointwise quasi-uniformity. Moreover, an L-partial pseudo-quasi-metric and its induced pointwise
quasi-uniformity induce the same L-cotopology.
Share and Cite
ISRP Style
Zhen-Yu Xiu, Bin Pang, Topological properties of L-partial pseudo-quasi- metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3169--3178
AMA Style
Xiu Zhen-Yu, Pang Bin, Topological properties of L-partial pseudo-quasi- metric spaces. J. Nonlinear Sci. Appl. (2016); 9(5):3169--3178
Chicago/Turabian Style
Xiu, Zhen-Yu, Pang, Bin. "Topological properties of L-partial pseudo-quasi- metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3169--3178
Keywords
- Partial metric
- L-partial metric
- L-cotopology
- pointwise metric.
MSC
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