One the Iteration of Fixed Point for Non-self Asymptotically Nonexpansive Mappings in Banach Space
Tian You-xian, Cheng Qun · Journal of Chongqing University. English Edition · 2007
Let E be a real Banachspace with a uniformly normal structure and whose norm is uniformly Gateaux differentiable.Let C be a nonempty bounded closed convex subset of E and T:C→E be a non-self asymptotically nonexpansive mapping.It is shown that under some suitable conditions,the generalized iterative sequence of Reich strongly converges to a fixed point of T.The results extend and improve the recent studies.