Hyers–Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems

Abstract

Abstract In this paper, we prove some existence, uniqueness and Hyers–Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov type fixed point theorem for contractions. Some applications to integral equations and to boundary value problems are also given.