Author(s)

Wenjun Liu, Jinghua Meng

Department of Mathematics Jiujiang University Jiujiang , China.

In Hilbert spaces , through improving some corresponding conditions in some literature and extending some recent relevent results, a strong convergence theorem of some implicit iteration process for pesudocon-traction mappings and explicit iteration process for nonexpansive mappings were established. And by using the result, some iterative solution for some equation of response diffusion were obtained.

pesudocon-traction mappings; nonexpansive mappings; implit iteration process; explicit iteration process; diffusion equation

Liu, W. and Meng, J. (2012) Algorithm of Iterative Process for Some Mappings and Iterative Solution of Some Diffusion Equation. Open Journal of Applied Sciences, 2, 62-65. doi: 10.4236/ojapps.2012.24B015.