MMN-710
Fixed points and completeness on partial metric spaces
Abstract
Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes
metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869]
proved a fixed point theorem that is a generalization of the Banach
contraction principle and characterizes the metric completeness.
Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type
characterizations of completeness for partial metric spaces and
fixed points for partially ordered metric spaces, Topology Appl.,
\textbf{159} (2012), 911-920] proved an analogous fixed point result
for a self-mapping on a partial metric space that characterizes the
partial metric 0-completeness. In this paper we prove a fixed point
result for a new class of contractions on a partial metric space of
Berinde-Suzuki type. Moreover, using our results, as application we
obtain a new characterization of partial metric 0-completeness.
Vol. 16 (2015), No. 1, pp. 369-383
DOI: 10.18514/MMN.2015.710