International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 6, Pages 54653, 5 p.
doi:10.1155/IJMMS/2006/54653
The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
B.E. Rhoades1
and Ştefan M. Şoltuz2
1Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
2Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Tiberiu Popoviciu, P.O. Box 68-1, Cluj-Napoca 400110, Romania
Abstract
We show that the Mann and Ishikawa iterations are equivalently used to approximate fixed points of generalized contractions.