An alternative regularization method for equilibrium problems and fixed point of nonexpansive mappings

We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. then,we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the unique sunny nonexpansive retraction. our results extend beyond the results of s. takahashi and w. takahashi (2007),and many others. © copyright 2012 shuo sun.