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

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  • Ming Tian
  • Min-Min Li

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.

Suggested Citation

  • Ming Tian & Min-Min Li, 2012. "A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnljam:782960
    DOI: 10.1155/2012/782960
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