Summary: In this paper, we first introduce the concept of proximally coincidence points for non-self mapping and self mappings. We prove the existence of a proximally coincidence point for non-self mappings and self mapping satisfying the \((\psi,\alpha,\beta)\)-contractive conditions in the setting of partially ordered set which is endowed with a metric. Further, our result provides an extension of a result due to V. S. Raj [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4804–4808 (2011; Zbl 1228.54046)] to the case of non-self-mapping. The examples illustrating our results are given.