# Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings

Volume 10, Issue 9, pp 4751--4759
Publication Date: September 12, 2017 Submission Date: June 08, 2017
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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.

•  47H10
•  47H09
•  47J25

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