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Hierarchical convergence to the zero point of maximal monotone operators - MaRDI portal

Hierarchical convergence to the zero point of maximal monotone operators (Q2845254)

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scientific article; zbMATH DE number 6200662
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Hierarchical convergence to the zero point of maximal monotone operators
scientific article; zbMATH DE number 6200662

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    22 August 2013
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    double-net algorithm
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    variational inequality
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    maximal monotone operator
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    hierarchical problem
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    Hierarchical convergence to the zero point of maximal monotone operators (English)
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    In this paper, an implicit double-net algorithm, that converges strongly in its first variable to a net consisting of zeroes of a maximal monotone operator, is considered. Further, it is shown that the net obtained converges strongly to the unique solution of a general monotone variational inequality. Applications to convex minimization problems and equilibrium problems are also provided.
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