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Cyclic subgradient extragradient methods for equilibrium problems (2016)

SpringerOpen

In: Arabian Journal of Mathematics

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Publication Date: 2016-08-04

Description: 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.

Print ISSN: 2193-5343

Electronic ISSN: 2193-5351

Topics: Mathematics

Published by SpringerOpen

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