Accelerated hybrid methods for solving pseudomonotone equilibrium problems
In this paper, we introduce some new accelerated hybrid algorithms for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition in a Hilbert space. The algorithms are constructed around the extragradient method, the inertial technique, the hybrid (or outer approximation) method,...
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| Veröffentlicht in: | Advances in computational mathematics 2020-08, Vol.46 (4), Article 58 |
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| creator | Van Hieu, Dang Quy, Pham Kim Hong, La Thi Van Vy, Le |
| description | In this paper, we introduce some new accelerated hybrid algorithms for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition in a Hilbert space. The algorithms are constructed around the extragradient method, the inertial technique, the hybrid (or outer approximation) method, and the shrinking projection method. The algorithms are designed to work either with or without the prior knowledge of the Lipschitz-type constants of bifunction. Theorems of strong convergence are established under mild conditions. The results in this paper generalize, extend, and improve some known results in the field. Finally, several of numerical experiments are performed to support the obtained theoretical results. |
| doi_str_mv | 10.1007/s10444-020-09778-y |
| format | Article |
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| subjects | Algorithms Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Equilibrium methods Hilbert space Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Visualization |
| title | Accelerated hybrid methods for solving pseudomonotone equilibrium problems |
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