Journal
ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 46, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/s10444-020-09778-y
Keywords
Hybrid method; Extragradient method; Equilibrium problem; Pseudomnotone bifunction; Lipschitz-type condition
Categories
Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.01-2020.06]
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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.
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