Some Parallel And Cyclic Algorithms Based On The Extragradient Method For A System Of Equilibrium Problems

In this paper, we introduce some parallel and cyclic algorithms based on the extragradient method for finding a common element of the set to solutions of a system of equilibrium problems, the set of the common fixed points of a family of finite strict pseudocontraction mappings and the set of solutions to the variational inequality for a monotone,Lipschitz continuous mapping. We obtain some weak and strong convergence theorems for the sequences generated by these processes in Hilbert spaces. The results in this paper generalize, improve and unify some well-known results in the literature.