A new iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contractive mappings and its application

In this paper, we introduce a new iterative scheme for finding a common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family strict pseudo-contraction mappings in a real Hilbert space. Some strong convergence theorems are established using the iterative scheme. In the meantime, we successfully apply these Theorems to find a common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family of non-expansive mappings in a real Hilbert space. The results in this paper improve the corresponding ones of [3, 6] and references therein.