Fixed points for α-ψ-Suzuki contractions with applications to integral equations

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 Suzuki-α-ψ-contractions and Suzuki-φθφθ-ψrψr-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.