Convergence analysis of a Halpern-like iterative algorithm in Hilbert spaces
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Authors
Yunpeng Zhang
- College of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou 450011, China.
Sun Young Cho
- Center for General Education, China Medical University, Taichung 40402, Taiwan.
Abstract
In this paper, a Halpern-like iterative algorithm is investigated for finding a solution of a split feasibility problem and a solution to a nonexpansive operator equation. Strong convergence theorems are established in the framework of infinite dimensional Hilbert spaces.
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ISRP Style
Yunpeng Zhang, Sun Young Cho, Convergence analysis of a Halpern-like iterative algorithm in Hilbert spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4143--4149
AMA Style
Zhang Yunpeng, Cho Sun Young, Convergence analysis of a Halpern-like iterative algorithm in Hilbert spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4143--4149
Chicago/Turabian Style
Zhang, Yunpeng, Cho, Sun Young. "Convergence analysis of a Halpern-like iterative algorithm in Hilbert spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4143--4149
Keywords
- Convergence analysis
- Hilbert space
- monotone mapping
- split feasibility problem.
MSC
References
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