Abstract
Abstract
An M-metric space is a generalization of a partial metric space. There have been some research investigating the relations between partial metric spaces and M-metric spaces. Theorems and properties prevailing in partial metric spaces are extended in M-metric spaces. In this paper, we study some compactness and completeness properties in M-metric spaces based on the similar properties in partial metric spaces. We also give completeness relation between M-metric spaces and partial metric spaces.
Subject
General Physics and Astronomy
Reference16 articles.
1. generalized contraction principle with control functions on partial metric spaces;Abdeljawad;Comput. Math. with Appl.,2012
2. Relations between partial metric spaces and M-metric spaces, Caristi Kirk’s theorem in M-metric type spaces;Abodayeh;J. Math. Anal.,2016
3. A solution to the completion problem for quasi-pseudometric spaces;Andrikopoulos;Int. J. Math. Math. Sci.,2013
4. New extenson of p-metric spaces with some fixed point results on M-metric spaces;Asadi;J. Inequalities Appl.,2014
5. On M-metric spaces and fixed point theorems;Assaf;Topol. Proc.,2017
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献