An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem
Joint Authors
Wu, Yu Jing
Chen, Rudong
Shi, Luo Yi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The multiple-sets split equality problem (MSSEP) requires finding a point x ∈ ∩ i = 1 N C i , y ∈ ∩ j = 1 M Q j such that A x = B y , where N and M are positive integers, { C 1 , C 2 , … , C N } and { Q 1 , Q 2 , … , Q M } are closed convex subsets of Hilbert spaces H 1 , H 2 , respectively, and A : H 1 → H 3 , B : H 2 → H 3 are two bounded linear operators.
When N = M = 1 , the MSSEP is called the split equality problem (SEP).
If B = I , then the MSSEP and SEP reduce to the well-known multiple-sets split feasibility problem (MSSFP) and split feasibility problem (SFP), respectively.
One of the purposes of this paper is to introduce an iterative algorithm to solve the SEP and MSSEP in the framework of infinite-dimensional Hilbert spaces under some more mild conditions for the iterative coefficient.
American Psychological Association (APA)
Shi, Luo Yi& Chen, Rudong& Wu, Yu Jing. 2014. An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014354
Modern Language Association (MLA)
Shi, Luo Yi…[et al.]. An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014354
American Medical Association (AMA)
Shi, Luo Yi& Chen, Rudong& Wu, Yu Jing. An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014354
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014354