Modified Projection Algorithms for Solving the Split Equality Problems
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The split equality problem (SEP) has extraordinary utility and broad applicability in many areas of applied mathematics.
Recently, Byrne and Moudafi (2013)proposed a CQ algorithm for solving it.
In this paper, we propose a modification for the CQ algorithm, which computes the stepsize adaptively and performs an additional projection step onto two half-spaces in each iteration.
We further propose a relaxation scheme for the self-adaptive projection algorithm by using projections onto half-spaces instead of those onto the original convex sets, which is much more practical.
Weak convergence results for both algorithms are analyzed.
American Psychological Association (APA)
Dong, Qiao-Li& He, Songnian. 2014. Modified Projection Algorithms for Solving the Split Equality Problems. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049237
Modern Language Association (MLA)
Dong, Qiao-Li& He, Songnian. Modified Projection Algorithms for Solving the Split Equality Problems. The Scientific World Journal No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1049237
American Medical Association (AMA)
Dong, Qiao-Li& He, Songnian. Modified Projection Algorithms for Solving the Split Equality Problems. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049237