Towards Cantor intersection theorem and Baire category theorem in partial metric spaces |
Manoranjan Singha and Koushik Sarkar |
Abstract In this paper we consider a suitable definition of convergence and introduce star
closed sets that enable us to establish a variant of Cantor intersection theorem as well as Baire
category theorem in partial metric spaces.
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Keywords: partial metric space; star closed sets; second category. |
MSC: 54E50, 54E52 |
Pages: 126--132 |
Volume 69
, Issue 2
, 2017
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