Coupled fixed points for Meir-Keeler contractions in ordered partial metric spaces (Q1954664)

Summary: We prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings \(F : X \times X \to X\) and \(g : X \to X\) on a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in [\textit{E. Gordji} et al. [ibid. 2012, Article ID 150363, 20 p. (2012)] have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012).