An iterative algorithm for generalized mixed equilibrium problem (Q485440)

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scientific article; zbMATH DE number 6385202
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An iterative algorithm for generalized mixed equilibrium problem
scientific article; zbMATH DE number 6385202

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    An iterative algorithm for generalized mixed equilibrium problem (English)
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    9 January 2015
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    A generalized mixed equilibrium problem and related to it an auxiliary problem are considered. The authors give a proof of the existence and uniqueness of solutions of the auxiliary problem. Based on this result, an iterative algorithm is developed consisting of a proximal mapping technique. They show that the sequences generated by the iterative algorithm converge to a solution of generalized mixed equilibrium problem.
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    generalized mixed equilibrium problem
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    iterative algorithm
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    proximal mapping
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    Fejer monotonicity
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    projection mapping
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