A CHARACTERIZATION OF 0-COMPLETENESS IN PARTIAL METRIC SPACES
SUSHANTA KUMAR MOHANTA(1) and PRIYANKA BISWAS(2)
1. West Bengal State University, Department of Mathematics, Barasat, 24 Parganas (North), Kolkata-700126, INDIA e-mail: mohantawbsu@rediffmail.com 2. West Bengal State University, Department of Mathematics, Barasat, 24 Parganas (North), Kolkata-700126, INDIA e-mail: priyankawbsu@gmail.com
Abstract
In this paper, we introduce the concept of p-point in a partial metric space and extend Weston’s characterization of metric completeness to partial metric spaces in terms of p-point. As a consequence of this study, we obtain the celebrated Banach Contraction Principle in the framework of 0-complete partial metric spaces.