International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 7, Pages 451-459
doi:10.1155/S0161171203110198

On the equivalence of Mann and Ishikawa iteration methods

B. E. Rhoades1 and Stefan M. Soltuz2

 1Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
2“T. Popoviciu” Institute of Numerical Analysis, P.O. Box 68-1, Cluj-Napoca 3400, Romania
Received 19 October 2001

Abstract

We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions.