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

Ming Tian and Min-Min Li

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:782960

DOI: 10.1155/2012/782960

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