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.
Keywords
metric, partial metric, quasi partial metric
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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.