subgradient extragradient algorithm with inertial effects for solving equilibrium problems
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:
Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:14 Issue: 2, 2024
Pages:
1 to 25
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