Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems

We introduce viscosity approximations by using the shrinking projection method established by takahashi,takeuchi,and kubota,for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. furthermore,we also consider the viscosity shrinking projection method for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of the super hybrid mappings in hilbert spaces. © 2012 rabian wangkeeree and nimit nimana.