Let E be a uniformly smooth and uniformly convex real Banach  space and C be a nonempty, closed and convex subset of E. Let    be a convex set of f-nonexpansive mappings containing identity. Using classical analysis strong convergence of a new iterative sequence for finding a common fixed point of f-nonexpansive mappings in V and the set of solutions to a system of equilibrium problems in E was studied. The result obtained in this paper extends and improves the work of Duan [9] and Takahashi and Zembayashi [15], respectively.

f-nonexpansive mappings, equilibrium problems, uniformly smooth space, uniformly convex space, convex set.