Convergence and stability of modified Ishikawa iteration sequence with errors

نویسندگان

  • Liping Yang
  • Shiguo Peng
چکیده

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 Tx = f . The main results of this paper improve and extend the known results in the current literature. MSC: Primary 47H09; 47H10; secondary 47J25

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تاریخ انتشار 2014