WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES
Let C be a nonempty closed convex subset of a Banach space E, let be a strongly continuous semigroup of nonexpansive mappings on C such that Then we prove that the sequence defined by converges weakly (strongly) to an element of which extends Thong’s result [1] in a Hilbert space to a Banach space.
weak and strong convergence, common fixed point, Opial’s condition, nonexpansive semigroup.
