  Recently many papers on cone metric spaces have been appeared, and main
topological properties of such spaces have been obtained. A cone metric space
is Hausdorff, and first countable, so the topology of it coincides with a
topology induced by an appreciate metric. In this paper the concept of a
partial cone metric space is introduced, and some fixed point theorems of
contractive mappings in this generalized setting are proved as well as some
theorems related to topological properties. It turns out that a partial cone
metric space is a topological space which is T_{0}, and some of main fixed
point theorems are also valid in this generalized setting.
