Asymptotic regularity and the strong convergence of the proximal point algorithm (Q1069272)
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scientific article; zbMATH DE number 3934322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic regularity and the strong convergence of the proximal point algorithm |
scientific article; zbMATH DE number 3934322 |
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Asymptotic regularity and the strong convergence of the proximal point algorithm (English)
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1983
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A fundamental method for finding a solution to an equation \(O\in Ax\) with A being a multi-valued maximal monotone operator is Rockafellar's proximal point algorithm. The authors of this paper gives several sufficient conditions for the strong convergence of the algorithm. The proofs are based on a result on the asymptotic regularity of nonexpansive mappings.
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multi-valued maximal monotone operator
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Rockafellar's proximal point algorithm
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strong convergence
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asymptotic regularity
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nonexpansive mappings
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0.9590509
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0.94847965
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0.9470241
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0.9443039
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0.93811196
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0.9375453
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0.93260443
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