A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert SpacesReport as inadecuate




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Journal of Applied MathematicsVolume 2012 2012, Article ID 782960, 14 pages

Research ArticleCollege of Science, Civil Aviation University of China, Tianjin 300300, China

Received 18 April 2012; Accepted 21 June 2012

Academic Editor: Hong-Kun Xu

Copyright © 2012 Ming Tian and Min-Min Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Author: Ming Tian and Min-Min Li

Source: https://www.hindawi.com/



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