Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings
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Authors
Yuanheng Wang
- Department of Mathematics, Zhejiang Normal University, 321004 Zhejiang, China.
Yan Li
- Department of Basic Science, Nanyang Polytechnic Institute, 473000 Henan, China.
Chanjuan Pan
- Department of Mathematics, Zhejiang Normal University, 321004 Zhejiang, China.
Abstract
A new modified
iterative scheme \(\{x_n\}\) is given for the viscosity approximating a common zero of a finite family of accretive mappings \(\{A_{i}\}\)
in reflexive Banach spaces with a weakly
continuous duality mapping \(J\) in the present paper. Under certain conditions, we prove the strong convergence
of the sequence \(\{x_n\}\). The results here extend and improve the corresponding recent results of some other authors.
Share and Cite
ISRP Style
Yuanheng Wang, Yan Li, Chanjuan Pan, Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4751--4759
AMA Style
Wang Yuanheng, Li Yan, Pan Chanjuan, Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings. J. Nonlinear Sci. Appl. (2017); 10(9):4751--4759
Chicago/Turabian Style
Wang, Yuanheng, Li, Yan, Pan, Chanjuan. "Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4751--4759
Keywords
- Viscosity approximation method
- accretive mapping
- common zero
- strong convergence
- reflexive Banach space.
MSC
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