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 OJAppS  Vol.2 No.4 B , December 2012
Algorithm of Iterative Process for Some Mappings and Iterative Solution of Some Diffusion Equation
Wenjun Liu*, Jinghua Meng
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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.
Keywords: pesudocon-traction mappings; nonexpansive mappings; implit iteration process; explicit iteration process; diffusion equation
Cite this paper: nullLiu, 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.
References

[1]   Deimling K. zeros of accretive operators [J].Manuscripta Math, 1974,13(4):365-374.

[2]   Chang S S. Cho Y J. Zhou H Y. Iterutive methods for nonlinear operator Equation in Banach space [M].New York: Science publishers, 2002.

[3]   Zhou H Y. Convergence theorems of common fixed points for a finite family of Lipschitzian pseudocontractions inBanachspaces [J].Nonlinear Anal ,2008,68(10):2977-2983

[4]   Xu H K. Inequalities in Banach space with applications, Nonlinear Anal TMA ,1991,16(2):1127-1138.

[5]   Xu H K. Iterative algorithms for nonlinear operator [J]. J London Math Soc,2002,66:240-256.

[6]   Moudafi A. Viscosity approximation methods for fixed-points problems [J]. J Math Anal Appl.2000,241:46-55.

[7]   Xu H K. Viscosity approximation methods for nonexpa nsive mapping [J]. J Math Anal Appl,2004,298:279-291.

 
 
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