In this paper, we discuss the equilibrium problem for a continuous bifunction over the fixed point set of a firmly nonexpansive mapping. We then present an iterative algorithm, which uses the firmly nonexpansive mapping at each iteration, for solving the problem. The algorithm is quite simple and it does not require monotonicity and Lipschitz-type condition on the equilibrium function. At the end of the paper, we present a numerical example and an application to the power control in CDMA data networks.

equilibrium problem,Nash equilibrium,variational inequality problem, fixed point problem,firmly nonexpansive mapping,CDMA network.