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