A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

By A. Amini-Harandi, H. Emami. 2010

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A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations (2012, background): “Amini-Harandi, A, Emami, H: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations.”
Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces (2014, result): “Further results in this direction were proved in [2,4,8,17].”
Common fixed-point results for nonlinear contractions in ordered partial metric spaces (2011, background): “Using this lemma, he proved that some very recent fixed-point theorems for generalized contractions on ordered metric spaces obtained by Harjani and Sadarangani [15] and Amini-Harandi and Emami [5] do follow from an earlier result of O’Regan and Petruşel [29, Theorem 3.6].”