We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010). We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives.
Xiangbing Zhou. Wenquan Wu. Hongjiang Ma. "A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations." Abstr. Appl. Anal. 2012 (SI06) 1 - 11, 2012. https://doi.org/10.1155/2012/856302