A Modified Mann Iteration Process for Common Fixed Points of an Infinite Family of Nonexpansive Mappings in Banach Spaces
Wei-Qi Deng · 2010
Let E be a real uniformly convex Banach space and K a nonempty closed convex subset of E. Let {Ti} ∞=1 be a sequence of nonexpansive mappings from K to itself with F := {x ∈ K : Tix = x, ∀i ≥ 1} � ∅. For an arbitrary initial point x1 ∈ K, the modified Mann iteration scheme {xn} is defined as follows: xn+1 =( 1− αn)xn + αnT ∗