Strong Convergence Theorems for an Implicit Iterative Algorithm for the Split Common Fixed Point Problem
Joint Authors
He, Huimin
Liu, Sanyang
Chen, Rudong
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this paper is to construct a novel implicit iterative algorithm for the split common fixed point problem for the demicontractive operators U, T, and xn=αnfxn+1-αnUλxn-ρnA*I-TAxn, n≥0, where Uλ=(1-λ)I+λU, and we obtain the sequence which strongly converges to a solution x^ of this problem, and the solution x^ satisfies the variational inequality.
〈x^-f(x^),x^-z〉≤0, ∀z∈S, where S denotes the set of all solutions of the split common fixed point problem.
American Psychological Association (APA)
He, Huimin& Liu, Sanyang& Chen, Rudong. 2016. Strong Convergence Theorems for an Implicit Iterative Algorithm for the Split Common Fixed Point Problem. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108603
Modern Language Association (MLA)
He, Huimin…[et al.]. Strong Convergence Theorems for an Implicit Iterative Algorithm for the Split Common Fixed Point Problem. Journal of Function Spaces No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1108603
American Medical Association (AMA)
He, Huimin& Liu, Sanyang& Chen, Rudong. Strong Convergence Theorems for an Implicit Iterative Algorithm for the Split Common Fixed Point Problem. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108603