Viscosity regularization iterative methods and convergence analysis
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Authors
Dongfeng Li
- School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou 450011, China.
Juan Zhao
- School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450011, China.
Abstract
In this paper, a Moudafi's type viscosity regularization iterative method is introduced and investigated for an \(m\)-accretive mapping and a nonexpansive mapping. Strong convergence of the regularization iterative method is obtained in the framework of real uniformly smooth Banach spaces. Some subresults are also provided as applications of the main results.
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ISRP Style
Dongfeng Li, Juan Zhao, Viscosity regularization iterative methods and convergence analysis, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5712--5722
AMA Style
Li Dongfeng, Zhao Juan, Viscosity regularization iterative methods and convergence analysis. J. Nonlinear Sci. Appl. (2017); 10(11):5712--5722
Chicago/Turabian Style
Li, Dongfeng, Zhao, Juan. "Viscosity regularization iterative methods and convergence analysis." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5712--5722
Keywords
- Accretive mapping
- regularization iteration
- uniform smoothness
- operator equation
MSC
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