Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 387056, 5 pages
doi:10.1155/2008/387056

The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces

Zhiqun Xue

Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China

Abstract

The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde 2004) and (Babu and Vara Prasad 2006).