In this paper, we obtain a coupled random fixed point theorem for a pair of random operators F : Ω × (X × X ) → X and g : Ω × X → X which are w-compatible satisfying an implicit relation in quasi-partial metric spaces. Our results extend and generalize the corresponding results in this direction. Read more

In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example. Read more