A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces

@article{Bauschke2001AWC,
  title={A Weak-to-Strong Convergence Principle for Fej{\'e}-Monotone Methods in Hilbert Spaces},
  author={Heinz H. Bauschke and P. L. Combettes},
  journal={Math. Oper. Res.},
  year={2001},
  volume={26},
  pages={248-264}
}
We consider a wide class of iterative methods arising in numerical mathematics and optimization that are known to converge only weakly. Exploiting an idea originally proposed by Haugazeau, we present a simple modification of these methods that makes them strongly convergent without additional assumptions. Several applications are discussed. 
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  • P. Maingé
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 2010
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