Fixed point iteration for asymptotically quasi‐nonexpansive mappings in Banach spaces
Somyot Plubtieng, Rabian Wangkeeree · International Journal of Mathematics and Mathematical Sciences · 2005
Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : C → C be an asymptotically quasi‐nonexpansive mapping. In this paper, we introduce the three‐step iterative scheme for such map with error members. Moreover, we prove that if T is uniformly L‐Lipschitzian and completely continuous, then the iterative scheme converges strongly to some fixed point of T.