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Date Published:
14/03/2023
Online Published:
14/03/2023
Abstract Views: 316
Views PDF: 119
Views PDF: 119
Section
Natural Sciences Issue
How to Cite
Nguyen, V. D., & Nguyen, T. T. T. (2023). On the metric generated by the quasi partial metric. Dong Thap University Journal of Science, 12(2), 3-12. https://doi.org/10.52714/dthu.12.2.2023.1026
On the metric generated by the quasi partial metric
Main Article Content
Abstract
From a given quasi partial metric, we propose a corresponding metric and a corresponding partial metric. We also state and prove the relationships between the convergent sequence, the Cauchy sequence and the completeness between these settings.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
metric, partial metric, quasi partial metric
References
Chi, K. P., Karapınar, E., & Thanh, T. D. (2012). A generalized contraction principle in partial metric spaces. Math. Comput. Modelling, 55, 1673-1681.
Gharibi, R., & Jahedi, S. (2019). On the product of quasi-partial metric spaces. Korean J. Math., 27, 819-830.
Haghi, R. H., Rezapour, S., & Shahzad, N. (2013). Be careful on partial metric fixed point results. Topology Appl., 160, 450-454.
Karapınar, E., Erhan, İ. M., & Öztürk, A. (2013). Fixed point theorems on quasi-partial metric spaces. Math. Comput. Modelling, 57, 2442-2448.
Matthews, S. G. (1992). Papers on general topology and applications. Queen’s College.
Nguyen, V. D. (2017). On the completion of partial metric spaces. Quaest. Math., 40, 589-597.
Trần, V. Â., Nguyễn, H. Q., Nguyễn, V. D., Nguyễn, N. B. (2017). Giáo trình Topo đại cương. Nhà xuất bản Trường Đại học Vinh.
Gharibi, R., & Jahedi, S. (2019). On the product of quasi-partial metric spaces. Korean J. Math., 27, 819-830.
Haghi, R. H., Rezapour, S., & Shahzad, N. (2013). Be careful on partial metric fixed point results. Topology Appl., 160, 450-454.
Karapınar, E., Erhan, İ. M., & Öztürk, A. (2013). Fixed point theorems on quasi-partial metric spaces. Math. Comput. Modelling, 57, 2442-2448.
Matthews, S. G. (1992). Papers on general topology and applications. Queen’s College.
Nguyen, V. D. (2017). On the completion of partial metric spaces. Quaest. Math., 40, 589-597.
Trần, V. Â., Nguyễn, H. Q., Nguyễn, V. D., Nguyễn, N. B. (2017). Giáo trình Topo đại cương. Nhà xuất bản Trường Đại học Vinh.
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