STRONG CONVERGENCE THEOREMS BY THE HYBRID METHOD FOR FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

Let C be a nonempty closed convex subset of a real Hilbert space and let {Tn} be a family of mappings of C into itself such that the set of all common fixed points of {Tn} is nonempty. We consider a sequence {xn} generated by the hybrid method in mathematical programming and give the conditions of {Tn} under which {xn} converges strongly to a common fixed point of {Tn}.