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We prove a generalized contraction principle with control function incomplete partial metric spaces. The contractive type condition used allows theappearance of self distance terms. The obtained result generalizes somepreviously obtained results such as the very recent " D. Ili\'{c}, V.Pavlovi\'{c} and V. Rako\u{c}evi\'{c}, Some new extensions of Banach'scontraction principle to partial metric spaces, Appl. Math. Lett. 24 (2011),1326--1330". An example is given to illustrate the generalization and itsproperness. Our presented example does not verify the contractive typeconditions of the main results proved recently by S. Romaguera in " Fixed pointtheorems for generalized contractions on partial metric spaces, Topology Appl.159 (2012), 194-199" and by I. Altun, F. Sola and H. Simsek in "Generalizedcontractions on partial metric spaces, Topology and Its Applications 157 (18)(2010), 2778--2785". Therefore, our results have an advantage over thepreviously obtained.

A $\phi$ - contraction Principle in Partial Metric Spaces with Self-distance Terms