Iterative methods for solving monotone equilibrium problems via dual gap functions |
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Authors: | Tran Dinh Quoc Le Dung Muu |
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Institution: | (3) Department of System Analysis and Information Technologies, Kazan University, Kazan, Russia; |
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Abstract: | This paper proposes an iterative method for solving strongly monotone equilibrium problems by using gap functions combined
with double projection-type mappings. Global convergence of the proposed algorithm is proved and its complexity is estimated.
This algorithm is then coupled with the proximal point method to generate a new algorithm for solving monotone equilibrium
problems. A class of linear equilibrium problems is investigated and numerical examples are implemented to verify our algorithms. |
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