... general case. Utilizing the technique of the modulus of convexity and anew demiclosed principle for nonself-maps of Kazor [24], we establish the we ak con-vergence theorem of the three-step iterative ... Taking the limit in (3.12), we get 〈g- f, j〉 ≥ 0, i.e., ||f - g||2≤ 0, which implies f = g. This completes the proof.Remark 3.2 Theorem 3.1 extends the main results in [4,16,18,20]to the case of asymptotically ... most of these articles, the operator T remains a self-mapping of a nonemptyclosed convex subset C of a uniformly convex Banach space X. If, however, the domain of T, D(T), is a proper subset of...