International Journal of Mathematics and Mathematical Sciences 
Volume 2008 (2008), Article ID 630589, 5 pages
doi:10.1155/2008/630589
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

Recommended by Enrico Obrecht

Abstract

We establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators.