  In this paper, we studied the equilibrium problem where the bi-function may
be quasiconvex with respect to the second variable and the feasible set is the
intersection of a finite number of convex sets. We propose a
projection-algorithm, where the projection can be computed independently onto
each component set. The convergence of the algorithm is investigated and
numerical examples for a variational inequality problem involving affine
fractional operator are provided to demonstrate the behavior of the algorithm.
