Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems

In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [9], S. Plubtieng and R. Punpaeng [7], X. Qin et al. [8] and S. Takahashi and W. Takahashi [10].