Cyclic subgradient extragradient methods for equilibrium problems

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• 作者：Dang Van Hieu
• 刊名：Arabian Journal of Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：5
• 期：3
• 页码：159-175
• 全文大小：1,369 KB
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：2193-5351
• 卷排序：5

文摘

In this paper, we introduce a cyclic subgradient extragradient algorithm and its modified form for finding a solution of a system of equilibrium problems for a class of pseudomonotone and Lipschitz-type continuous bifunctions. The main idea of these algorithms originates from several previously known results for variational inequalities. The proposed algorithms are extensions of the subgradient extragradient method for variational inequalities to equilibrium problems and the hybrid (outer approximation) method. The paper can help in the design and analysis of practical algorithms and gives us a generalization of the most convex feasibility problems.Mathematics Subject Classification65J1547H0547J2591B50