Viscosity Approximation Fixed Points For Nonexpansive Mapping
Yujun Liu · Journal of Anyang Normal University · 2010
Let C be a closed convex subset of a uniformly smooth Banach space X,and T:C→C is a non-expansive mapping such that,and be a fixed contractive mapping.The sequence is given by:xn+1=αnf(xn)+(1-αn)(βnxn+(1-βn)Txn) where αn,βn∈(0,1).We prove that{xn}strongly converges to a fixed point of T as αn,βn satisfying some appropriate conditions.