The Lagrange multiplier technique for variational inequalities (Q1395209)

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scientific article; zbMATH DE number 1940604
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The Lagrange multiplier technique for variational inequalities
scientific article; zbMATH DE number 1940604

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    The Lagrange multiplier technique for variational inequalities (English)
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    29 June 2003
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    The present paper is dedicated to the development and justification of the multiplier method for variational inequalities with convex constraints. The convergence of the method is proved under the condition of the monotonicity of the basic operator with an arbitrary value of the penalty coefficient, which is in agreement with the properties of the multiplier method in the case of convex programming problems.
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    variational inequalities
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    multiplier method
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    monotonicity condition
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    convex programming
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    convergence
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    solution
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