Modified Iterative Algorithms for Nonexpansive Mappings
Joint Authors
Mohyud-Din, Syed Tauseef
Yao, Yonghong
Aslam Noor, Muhammad
Source
Journal of Applied Mathematics and Stochastic Analysis
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F(S)∩F(T)≠∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H.
In this paper, we suggest and consider the strong converegence analysis of a new two-step iterative algorithms for finding the approximate solution of two nonexpansive mappings as xn+1=βnxn+(1−βn)Syn, yn=αnγf(xn)+(I−αnA)Txn, n≥0 is a real number and {αn}, {βn} are two sequences in (0,1) satisfying the following control conditions: (C1) limn→∞ αn=0, (C3) 0 We also discuss several special cases of this iterative algorithm.
American Psychological Association (APA)
Yao, Yonghong& Aslam Noor, Muhammad& Mohyud-Din, Syed Tauseef. 2009. Modified Iterative Algorithms for Nonexpansive Mappings. Journal of Applied Mathematics and Stochastic Analysis،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-463304
Modern Language Association (MLA)
Yao, Yonghong…[et al.]. Modified Iterative Algorithms for Nonexpansive Mappings. Journal of Applied Mathematics and Stochastic Analysis No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-463304
American Medical Association (AMA)
Yao, Yonghong& Aslam Noor, Muhammad& Mohyud-Din, Syed Tauseef. Modified Iterative Algorithms for Nonexpansive Mappings. Journal of Applied Mathematics and Stochastic Analysis. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-463304
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463304
