University of MaraghehSahand Communications in Mathematical Analysis2322-580711120180801A Coupled Random Fixed Point Result With Application in Polish Spaces991132850610.22130/scma.2017.28506ENRashwan Ahmed RashwanDepartment of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.Hasanen Abuel-Magd HammadDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.Journal Article20170201In 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.http://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf