Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces
Joint Authors
Su, Juguo
Liu, Liwei
Tang, Yu-Chao
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The hybrid algorithms for constructing fixed points of nonlinear mappings have been studied extensively in recent years.
The advantage of this methods is that one can prove strong convergence theorems while the traditional iteration methods just have weak convergence.
In this paper, we propose two types of hybrid algorithm to find a common fixed point of a finite family of asymptotically nonexpansive mappings in Hilbert spaces.
One is cyclic Mann's iteration scheme, and the other is cyclic Halpern's iteration scheme.
We prove the strong convergence theorems for both iteration schemes.
American Psychological Association (APA)
Su, Juguo& Tang, Yu-Chao& Liu, Liwei. 2012. Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1028742
Modern Language Association (MLA)
Su, Juguo…[et al.]. Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1028742
American Medical Association (AMA)
Su, Juguo& Tang, Yu-Chao& Liu, Liwei. Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1028742
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028742