Convergence of two-step iterative scheme with errors for two asymptotically nonexpansive mappings

where {an} is a sequence in [0,1] and {un} a sequence in E satisfying ∑∞ n=1‖un‖<∞, is known as Mann iterative scheme with errors. In 1999, Huang [2] studied the above schemes for asymptotically nonexpansive mappings. Recall that a mapping T : C → C is asymptotically nonexpansive if there is a sequence {kn} ⊂ [1,∞) with limn→∞kn = 1 and ‖Tnx−Tny‖ ≤ kn‖x−y‖ for all x,y ∈ C and for all n∈N, where N denotes the set of positive integers. Moreover, in 2001, Khan and Takahashi [3] approximated the fixed points of two asymptotically nonexpansivemappings S,T : C → C through the sequence {xn} given by x1 = x ∈ C, xn+1 = ( 1−an ) xn+anSyn, yn = ( 1−bn ) xn+bnTxn, (1.3)