Convergence and stability of modified Ishikawa iteration sequence with errors
Liping Yang, Shiguo Peng · Fixed Point Theory and Applications · 2014
We show some stability and convergence theorems of the modified Ishikawa iterative sequence with errors for a strongly successively pseudocontractive and strictly asymptotically pseudocontractive mapping in a real Banach space. Additionally, we prove that if T is a uniformly Lipschitzian strongly accretive mapping, the modified Ishikawa iteration sequence with errors converges strongly to the unique solution of the equation . The main results of this paper improve and extend the known results in the current literature. MSC:47H09, 47H10, 47J25.