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Weak co-coercivity and its applications in several algorithms for solving variational inequalities (Q945238)

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scientific article; zbMATH DE number 5342812
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English
Weak co-coercivity and its applications in several algorithms for solving variational inequalities
scientific article; zbMATH DE number 5342812

    Statements

    Weak co-coercivity and its applications in several algorithms for solving variational inequalities (English)
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    12 September 2008
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    A proximal point (auxiliary problem) method for variational inequalities is shown to converge under the weak co-coercivity assumption on the operator involved in the problem. The same assumption is used in analyzing convergence of a forward-backward splitting method for approximating zeros of an operator.
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    Variational inequality
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    weak co-coercivity
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    auxiliary problem method
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    forward-backward splitting method
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    sub-strong monotonicity
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    maximal monotone
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    Armijo-like search
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    proximal point method
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    convergence
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