General Cesaro mean approximation methods for nonexpansive mappings in Hilbert spaces
Pramote Markshoe, Rabian Wangkeeree · Thai Journal of Mathematics · 2012
Let C be a nonempty closed convex subset of a real Hilbert space H, f a contraction on C and A a strongly bounded linear operator on H with coefficient γ > 0. Consider a general Cesaro mean iterative method x0 ∈ C, xn+1 = αnγf(xn) + βnxn + ((1 − βn)I + αnA) 1 n + 1 n