International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 42, Pages 2645-2651
doi:10.1155/S0161171203211418
The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators
B. E. Rhoades1
and Ştefan M. Şoltuz2
1Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
2T. Popoviciu” Institute of Numerical Analysis, P.O. Box 68-1, Cluj-Napoca 3400, Romania
Abstract
We show that the convergence of Mann iteration is equivalent to the convergence of Ishikawa iteration for various classes of non-Lipschitzian operators.