Without the continuity and nondecreasing property of the comparison function, we in this paper prove some fixed point theorems of generalized contractions of rational type in ordered partial metric spaces, which generalize and improve the corresponding results of Luong and Thuan. An example is given to support the usability of our results.
"Generalized Contractions of Rational Type in Ordered Partial Metric Spaces." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/928017