International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 68369, 7 pages

The convergence of an implicit mean value iteration

B. E. Rhoades1 and Ştefan M. Şoltuz2

1Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
2“Numerical Analysis and Application Theory Workgroup, Tiberiu Popoviciu Institute of Numerical Analysis,”, P.O. Box 68-1, Cluj-Napoca 400 110, Romania

Received 3 April 2006; Revised 10 May 2006; Accepted 11 May 2006

Copyright © 2006 B. E. Rhoades and Ştefan M. Şoltuz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other implicit mean value iterations are given.