Copyright © 2011 Esref Turkmen et al. This is an open access article distributed under the
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Suppose that is nonempty closed convex subset of a uniformly convex and smooth Banach space with as a sunny nonexpansive retraction and . Let be two weakly inward nonself asymptotically nonexpansive mappings with respect to with two sequences satisfying
, respectively. For any given , suppose that is a sequence generated iteratively by , , , where and are sequences in for some . Under some suitable conditions, the strong and weak convergence theorems of to a common fixed point of and are obtained.