# Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings

Volume 11, Issue 4, pp 529--540
Publication Date: March 19, 2018 Submission Date: November 10, 2017 Revision Date: December 01, 2017 Accteptance Date: January 26, 2018
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### Authors

Yuanheng Wang - Department of Mathematics, Zhejiang Normal University, Jinhua, China. Jialei Feng - Department of Mathematics, Zhejiang Normal University, Jinhua, China.

### Abstract

In this paper, we investigate a new iterative implicit algorithm for fixed points of asymptotically nonexpansive mapping in Hilbert spaces. We also prove its strong convergence theorem under certain assumptions imposed on the parameters and extend some well-known results. As an application, we apply our main result to $\mu$-inverse strongly monotone mapping.

### Share and Cite

##### ISRP Style

Yuanheng Wang, Jialei Feng, Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 529--540

##### AMA Style

Wang Yuanheng, Feng Jialei, Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings. J. Nonlinear Sci. Appl. (2018); 11(4):529--540

##### Chicago/Turabian Style

Wang, Yuanheng, Feng, Jialei. "Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 529--540

### Keywords

• Asymptotically nonexpansive
• strong convergence
• $\mu$-inverse strongly monotone mapping
• Hilbert space

•  47H09
•  47H10
•  54H25

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