TITLE:
Algorithm of Iterative Process for Some Mappings and Iterative Solution of Some Diffusion Equation
AUTHORS:
Wenjun Liu, Jinghua Meng
KEYWORDS:
pesudocon-traction mappings; nonexpansive mappings; implit iteration process; explicit iteration process; diffusion equation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
11,
2013
ABSTRACT: 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.