Abstract
Let be a complete 2-uniformly convex metric space, C be a nonempty, bounded, closed and convex subset of M, and T be an asymptotic pointwise nonexpansive self mapping on C. In this paper, we define the modified Ishikawa iteration process in M, i.e.,
x(n+1) = t(n)T(n)(SnTn(X-n) circle plus (1 - S-n)(X-n)) circle plus (1 - t(n))X-n
and we investigate when the Ishikawa iteration process converges weakly to a fixed point of T.