International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 630589, 5 pages
doi:10.1155/2008/630589
Characterization for the convergence of Krasnoselskij iteration for non-Lipschitzian operators
Ştefan M. Şoltuz1
and B.E. Rhoades2
1Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10, Bogota, Colombia
2Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
Abstract
We establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators.