  In this article, we introduce and investigate the concept of partial
quasi-metric type space as a generalization of both partial quasi-metric and
quasi-metric type spaces. We show that many important constructions studied in
K\"unzi's theory of partial quasi-metrics can be successfully extended to these
spaces. In particular, we prove that the basic theories of topology and
quasi-uniformity are essentially the same for quasi-metric type spaces as for
quasi-metric spaces and by extensions, to partial quasi-metric type spaces. We
also prove that the Banach, Kannan, Reich and Chatterjea fixed point theorems
can be successfully extended to this more general setting.
