Extragradient methods for searching for equilibrium points in the parametric problem of equilibrium programming (Q889205)

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scientific article; zbMATH DE number 6505335
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Extragradient methods for searching for equilibrium points in the parametric problem of equilibrium programming
scientific article; zbMATH DE number 6505335

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    Extragradient methods for searching for equilibrium points in the parametric problem of equilibrium programming (English)
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    6 November 2015
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    In the paper, the author considers a class of equilibrium problems, which can be treated as a system of optimality conditions for some parametric scalarized constrained vector optimization problem. It can be replaced with a saddle-point problem, or a variational inequality. The author gives substantiation of two versions of the extragradient method with fixed stepsize under monotonicity type and Lipschitz continuity assumptions.
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    equilibrium problems
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    saddle-point problems
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    systems of optimality conditions
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    extragradient type methods
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    convergence properties
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