We prove a generalized contraction principle with control function in complete partial metric spaces. The contractive type condition used allows the appearance of self-distance terms. The obtained result generalizes some previously obtained results such as the very recent Ilić et al. [15]. An example is given to illustrate the generalization and its properness. Our presented example does not verify the contractive type conditions of the main results proved recently by Romaguera in [17] and by Altun et al. in [8]. Therefore, our results have an advantage over the previously obtained.

partial metric space, Banach contraction principle, fixed point.