Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 493298, 6 pages
doi:10.1155/2010/493298
Research Article

A Kirk Type Characterization of Completeness for Partial Metric Spaces

Salvador Romaguera

Insitituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain

Received 1 October 2009; Accepted 25 November 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Salvador Romaguera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We extend the celebrated result of W. A. Kirk that a metric space X is complete if and only if every Caristi self-mapping for X has a fixed point, to partial metric spaces.