A Note on Approximating Fixed Points of Asymptotically Nonexpansive Mapping
Rudong Chen · Journal of Mathematical Research and Exposition · 2006
Let E be a uniformly convex Banach space, C be a nonempty closed convex subset of E, and T : C→C be an asymptotically nonexpansive mapping with fixed points. It is shown that under some suitable conditions, the sequence {xn} defined by the modified Ishikawa iteration process: xn+1 = rpn,pn = (1 - an)xn + anTmn ryn + un, yn = (1 - bn)xn + bnTkn xn + vn, (n≥1) converges weakly to a fixed point of T.