Mann and Ishikawa iterations with errors for non-lipschitzian mappings in Banach spaces

Abstract

Listen

Translate article

Let C be a nonempty closed convex subset of a uniformly convex Banach space and let T : C → C be completely continuous asymptotically nonexpansive in the intermediate sense. In this paper, we prove that the Ishikawa (and Mann) iteration process with errors converges strongly to some fixed point of T, which generalizes the recent results due to Huang [1].