The viscosity approximation forward-backward splitting method for the implicit midpoint rule of quasi inclusion problems in Banach spaces
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Authors
Li Yang
- School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, China.
Fuhai Zhao
- School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, China.
Abstract
The purpose of this paper is to introduce a viscosity approximation forward-backward splitting method for the implicit
midpoint rule of an accretive operators and m-accretive operators in Banach spaces. The strong convergence of this viscosity
method is proved under certain assumptions imposed on the sequence of parameters. The results presented in the paper
extend and improve some recent results announced in the current literature. Moreover, some applications to the minimization
optimization problem and the linear inverse problem are presented.
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ISRP Style
Li Yang, Fuhai Zhao, The viscosity approximation forward-backward splitting method for the implicit midpoint rule of quasi inclusion problems in Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3530--3543
AMA Style
Yang Li, Zhao Fuhai, The viscosity approximation forward-backward splitting method for the implicit midpoint rule of quasi inclusion problems in Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(7):3530--3543
Chicago/Turabian Style
Yang, Li, Zhao, Fuhai. "The viscosity approximation forward-backward splitting method for the implicit midpoint rule of quasi inclusion problems in Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3530--3543
Keywords
- Viscosity approximation
- Banach space
- splitting method
- forward-backward algorithm
- the implicit midpoint rule.
MSC
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