CONVERGENCE CRITERIA OF A VISCOSITY COMMON FIXED-POINT ITERATIVE PROCESS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP IN BANACH SPACES

摘要

Let X be a real arbitrary Banach space and let C be a nonempty closed convex subset of X. Let F = {T(t) : t > 0} be the semigroup of asymptotically nonexpansive self-mappings on C such that F not equal 0, where F is the set of fixed points of T(t) for all t > 0. Let f : C -> C be a contractive mapping, {alpha(n)}, {beta(n)} be real sequences in [0,1] and {t(n)} be a sequence of positive real numbers. Define {x(n)} and {y(n)} to be the iterative sequences