International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 11, Pages 68369, 7 p.
doi:10.1155/IJMMS/2006/68369
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
2Numerical Analysis and Application Theory Workgroup, Tiberiu Popoviciu Institute of Numerical Analysis,”, P.O. Box 68-1, Cluj-Napoca 400 110, Romania
Abstract
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.