The Convergence and Stability of the Sequences of Ishikawa Iterative for Lipschitiz Strongly Locally Pseudo Contractive Mappings
Hongmei Li · Journal of Sichuan Normal University · 2004
Let K be a nonempty closed subset of an arbitrary real Banach space X and T:K→X an Lipschitz continuous locally strongly pseudocontractive operators. In this paper, under certain condition without (lim)n→∞β_n=0,(lim)n→∞α_n=0, we prove that the Ishikawa methods with errors converges strongly to the fixed point of Lipschitz continuous locally strongly pseudocontractive operators. We also prove the stability of the iteration. The results improve and extend the recent results.