Abstract
Recently, Suzuki [Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterized the metric completeness. Paesano and Vetro [Topology Appl., 159 (2012), 911-920] proved an analogous fixed point result on a partial metric space. In this paper we prove some fixed point results for Suzuld-alpha-psi-contractions and Suzuki-phi(theta)-psi(r)-contractions on a complete partially ordered metric space. Moreover, some examples and an application to integral equations are provided to illustrate the usability of the obtained results.