Balls in generalizations of metric spaces

Abstract This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ , this paper proves that there are x...

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Bibliographic Details
Main Authors: Xun Ge, Shou Lin
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-0962-y