Iterative algorithms for solving the system of mixed equilibrium problems,fixed-point problems,and variational inclusions with application to minimization problem

We introduce a new iterative algorithm for solving a common solution of the set of solutions of fixed point for an infinite family of nonexpansive mappings,the set of solution of a system of mixed equilibrium problems,and the set of solutions of the variational inclusion for a -inverse-strongly monotone mapping in a real hilbert space. we prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. furthermore,we give a numerical example which supports our main theorem in the last part. copyright © 2012 tanom chamnarnpan and poom kumam.