Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings
Volume 11, Issue 4, pp 529--540
http://dx.doi.org/10.22436/jnsa.011.04.09
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.
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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
MSC
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