Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 242916, 7 pages
doi:10.1155/2008/242916
Data dependence for Ishikawa iteration when dealing with contractive-like operators
Ş.M. Şoltuz1
and Teodor Grosan2
1Departamento de Matematicas, Universidad de los Andes, Carrera 1 No. 18A-10, Bogota, Colombia
2Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Abstract
We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like one. For which it is possible to compute the fixed point, and therefore to approximate the fixed point of the initial operator.