Strong Convergence of the Iterative Scheme for Asymptotically Nonexpansive Mapping
Hui Tong · Journal of Hebei University · 2009
Let E be a real Banach space with a uniformly Gateaux differentiable norm,K be a nonempty closed convex subset of E and T:K→K be an asymptotically nonexpansive mapping with a sequence {kn}[1,∞},limn→∞kn=1.It is shown that under some suitable conditions,the sequence {xn} converges strongly to some fixed point of T.