A Coupled Random Fixed Point Result With Application in Polish Spaces

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.

کلیدواژه ها:

Coupled random fixed point ، $varphi $-contraction ، Polish space ، Random nonlinear integral equations