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Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces - MaRDI portal

Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces (Q369787)

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scientific article; zbMATH DE number 6209217
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Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces
scientific article; zbMATH DE number 6209217

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    Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces (English)
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    19 September 2013
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    Summary: We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.
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    strong convergence
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