On Prešić–Ćirić-Type α-ψ Contractions with an Application

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