Algorithm of Iterative Process for Some Mappings and Iterative Solution of Some Diffusion Equation

Wenjun Liu, Jinghua Meng · Open Journal of Applied Sciences · 2012

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.

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