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A Relaxed Self-Adaptive Projection Algorithm for Solving the Multiple-Sets Split Equality Problem
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this article, we introduce a relaxed self-adaptive projection algorithm for solving the multiple-sets split equality problem.
Firstly, we transfer the original problem to the constrained multiple-sets split equality problem and a fixed point equation system is established.
Then, we show the equivalence of the constrained multiple-sets split equality problem and the fixed point equation system.
Secondly, we present a relaxed self-adaptive projection algorithm for the fixed point equation system.
The advantage of the self-adaptive step size is that it could be obtained directly from the iterative procedure.
Furthermore, we prove the convergence of the proposed algorithm.
Finally, several numerical results are shown to confirm the feasibility and efficiency of the proposed algorithm.
American Psychological Association (APA)
Che, Haitao& Chen, Haibin. 2020. A Relaxed Self-Adaptive Projection Algorithm for Solving the Multiple-Sets Split Equality Problem. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185604
Modern Language Association (MLA)
Che, Haitao& Chen, Haibin. A Relaxed Self-Adaptive Projection Algorithm for Solving the Multiple-Sets Split Equality Problem. Journal of Function Spaces No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1185604
American Medical Association (AMA)
Che, Haitao& Chen, Haibin. A Relaxed Self-Adaptive Projection Algorithm for Solving the Multiple-Sets Split Equality Problem. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185604
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185604