In this paper, combining the subgradient extragradient method with inertial method, we introduce a new iterative algorithm for solving equilibrium problems in real Hilbert spaces. Moreover, we present a new inertial self-adaptive scheme for solving variational inequalities in real Hilbert spaces, which it is not necessary to know the Lipschitz constant of the mapping. We prove the weak convergence of the generated iterates by presented algorithms. To illustrate the usability of our results and also to show the efficiency of the proposed methods, we present some comparative examples with several existing schemes in the literature.
Safari, M., & Moradlou, F. (2024). subgradient extragradient algorithm with inertial effects for solving equilibrium problems. Journal of Advanced Mathematical Modeling, 14(2), 1-25. doi: 10.22055/jamm.2024.45852.2247
MLA
Maryam Safari; Fridoun Moradlou. "subgradient extragradient algorithm with inertial effects for solving equilibrium problems". Journal of Advanced Mathematical Modeling, 14, 2, 2024, 1-25. doi: 10.22055/jamm.2024.45852.2247
HARVARD
Safari, M., Moradlou, F. (2024). 'subgradient extragradient algorithm with inertial effects for solving equilibrium problems', Journal of Advanced Mathematical Modeling, 14(2), pp. 1-25. doi: 10.22055/jamm.2024.45852.2247
VANCOUVER
Safari, M., Moradlou, F. subgradient extragradient algorithm with inertial effects for solving equilibrium problems. Journal of Advanced Mathematical Modeling, 2024; 14(2): 1-25. doi: 10.22055/jamm.2024.45852.2247
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