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In this paper, we propose a stochastic version of the classical Tseng'sforward-backward-forward method with inertial term for solving monotoneinclusions given by the sum of a maximal monotone operator and a single-valuedmonotone operator in real Hilbert spaces. We obtain the almost sure convergencefor the general case and the rate $\mathcal{O}(1/n)$ in expectation for thestrong monotone case.  Furthermore, we derive $\mathcal{O}(1/n)$ rate convergence of the primal-dualgap for saddle point problems.

A Tseng type stochastic forward-backward algorithm for monotone inclusions