  We introduce a forward-backward-forward (FBF) algorithm for solving bilevel
equilibrium problem associated with bifunctions on a real Hilbert space. This
modifies the forward-backward algorithm by relaxing cocoercivity with monotone
and Lipschitzness. Further, we present the FBF dynamical system and investigate
the generated trajectory's existence, uniqueness and weak convergence. We
illustrate the proposed method for equilibrium problem under saddle point
constraint.
