International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 630589, 5 pages
Research Article

Characterization for the Convergence of Krasnoselskij Iteration for Non-Lipschitzian Operators

Ştefan M. Şoltuz1,2 and B. E. Rhoades3

1Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10, Bogota, Colombia
2“Tiberiu Popoviciu” Institute of Numerical Analysis, 400110 Cluj-Napoca, Romania
3Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Received 13 August 2007; Revised 2 February 2008; Accepted 24 February 2008

Academic Editor: Enrico Obrecht

Copyright © 2008 Ştefan M. Şoltuz and B. E. Rhoades. 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 establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators.