Proximal point algorithms and generalized nonlinear variational problems (Q884159)
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scientific article; zbMATH DE number 5163961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proximal point algorithms and generalized nonlinear variational problems |
scientific article; zbMATH DE number 5163961 |
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Proximal point algorithms and generalized nonlinear variational problems (English)
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13 June 2007
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The author examines the solvability of the variational inequality problem (VIP) involving pseudo-monotone mapping by using the general proximal point method. Auxiliary results on Fréchet-differentiable functions play an important role in constructing the general framework for the proximal point method. It is proven that the sequence generated by the proximal point algorithm converges to a solution of the VIP.
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proximal point method
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pseudomonotone mapping
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pseudococoercive mapping
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variational inequality problem
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convergence
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algorithm
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