Convergence theorems of Ishikawa iterative for asymptotically nonexpansive mapping in a uniformly convex Banach spaces

Su Yong · 2003

The relative result of Jurgen schu is extended to a uniformly convex Banach space, and the convergence of iterative sequence in an uniformly convex Banach space for asymptotically nonexpanstive mapping is proved by LiuQihou and LiXia, T is asymptotically nonexpanstive mapping with sequence{Kn}in a bounded closed convex subset C of uniformly convex Banach space. In this paper, we let only C is closed convex subset of uniformly convex Banach space.But convergence theorems of iterative sequences for asymptotically nonexpanstive mapping is also proved.

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