Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 782960, 14 pages.

A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces

Ming Tian and Min-Min Li

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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.

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J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 782960, 14 pages.

First available in Project Euclid: 3 January 2013

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Tian, Ming; Li, Min-Min. A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 782960, 14 pages. doi:10.1155/2012/782960.

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