Fixed points of ( ψ , ϕ , θ ) -contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations

Abstract

We prove some coupled coincidence and coupled common fixed point theorems for mappings satisfying ( , , )-contractive conditions in partially ordered complete b-metric spaces. The obtained results extend and improve many existing results from the literature. As an application, we prove the existence of a unique solution to a class of nonlinear quadratic integral equations. MSC: