The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces

Volume 10, Issue 1, pp 130--140 http://dx.doi.org/10.22436/jnsa.010.01.13

Publication Date: January 26, 2017 Submission Date: September 29, 2016

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Authors

Fu Hai Zhao - School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, P. R. China. Li Yang - School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, P. R. China.

Abstract

In this paper, we introduce viscosity approximation forward-backward splitting method for an accretive operator and an m-accretive operator in Banach spaces. The strong convergence of this viscosity method is proved under certain assumptions imposed on the sequence of parameters. Applications to the minimization optimization problem and the linear inverse problem are included. The results presented in the paper extend and improve some recent results announced in the current literature.

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ISRP Style

Fu Hai Zhao, Li Yang, The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 130--140

AMA Style

Zhao Fu Hai, Yang Li, The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(1):130--140

Chicago/Turabian Style

Zhao, Fu Hai, Yang, Li. "The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 130--140

Keywords

Accretive operator
viscosity approximation
Banach space
splitting method
forward-backward algorithm.

MSC

47H09
47J25

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