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A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
It is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems.
In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrained convex minimization problems which solves a variational inequality.
American Psychological Association (APA)
Tian, Ming& Li, Min-Min. 2012. A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029005
Modern Language Association (MLA)
Tian, Ming& Li, Min-Min. A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029005
American Medical Association (AMA)
Tian, Ming& Li, Min-Min. A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029005