A CHARACTERIZATION OF 0-COMPLETENESS IN PARTIAL METRIC SPACES

  • SUSHANTA KUMAR MOHANTA
    West Bengal State University, Department of Mathematics, Barasat, 24 Parganas (North), Kolkata-700126, INDI
    mohantawbsu@rediffmail.com
  • PRIYANKA BISWAS
    West Bengal State University, Department of Mathematics, Barasat, 24 Parganas (North), Kolkata-700126, INDIA
    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.

Cuvinte cheie

Partial metric 0-Cauchy sequence 0-completeness fixed point.