Combined relaxation method for mixed equilibrium problems (Q852111)

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scientific article; zbMATH DE number 5076379
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Combined relaxation method for mixed equilibrium problems
scientific article; zbMATH DE number 5076379

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    Combined relaxation method for mixed equilibrium problems (English)
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    27 November 2006
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    A general class of equilibrium problems which involve a single valued mapping and a nonsmooth bifunction is considered in the paper. Such mixed equilibrium problems are solved with a combined relaxation method using an auxiliary iteration of a splitting-type method for constructing a separating hyperplane. It is proved that the method is convergent under the assumption that the dual of the mixed equilibrium problem is solvable. Convergence rates are also derived.
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