Abstract
In this paper, we extend the idea of alpha-psi contraction mapping to the product spaces by introducing Presic-Ciric-type alpha-psi contractions and utilize them to prove some coincidence and common fixed-point theorems in the context of ordered metric spaces using alpha-admissibility of the mapping. Our newly established results generalize a number of well-known fixed-point theorems from the literature. Moreover, we give some examples that attest to the credibility of our results. Further, we give an application to the nonlinear integral equations, which can be employed to study the existence and uniqueness of solutions to the integral equations.