subgradient extragradient algorithm with inertial effects for solving equilibrium problems

Message:
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.
Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:14 Issue: 2, 2024
Pages:
1 to 25
https://www.magiran.com/p2777782