Strong convergence for asymptotically nonexpansive mappings in the intermediate sense

Research paper by Gang Eun Kim

Indexed on: 23 Jul '14Published on: 23 Jul '14Published in: Fixed Point Theory and Applications


In this paper, let C be a nonempty closed convex subset of a strictly convex Banach space. Then we prove strong convergence of the modified Ishikawa iteration process when T is an ANI self-mapping such that T(C)Open image in new window is contained in a compact subset of C, which generalizes the result due to Takahashi and Kim (Math. Jpn. 48:1-9, 1998).MSC:47H05, 47H10.