eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 2016-09-13 4 2 25 31 10.12691/ijpdea-4-2-2 IJPDEA2016422 article Gang Wang wgfeiyu@sina.com 1 School of Science, Hubei University of Technology, Wuhan, China In this paper, we present a result on existence of exponential attractors for abstract random dynamical systems, and then give a criterion for exponentially attractive property of random attractors. As an application, we first prove that the random dynamical system generated by a stochastic reaction-diffusion equation possesses a random exponential attractor. Then we show that the unique random equilibrium when the nonlinearity satisfies some restrictive condition is exactly an exponential attractor. http://pubs.sciepub.com/ijpdea/4/2/2/ijpdea-4-2-2.pdf random dynamical system random exponential attractor random equilibrium stochastic reaction-diffusion equation