Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications
Journal of Inequalities and Applications , Volume 2021, pp 1-27; doi:10.1186/s13660-021-02591-1
Abstract: In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuous bifunction in real Hilbert spaces. A weak convergence theorem is well established under certain mild conditions for the bifunction and the control parameters involved. Some of the applications to solve variational inequalities and fixed point problems are considered. Finally, several numerical experiments are performed to demonstrate the numerical efficacy and superiority of the proposed algorithm over other well-known existing algorithms.
Keywords: Pseudomonotone bifunction / Equilibrium problem / Weak convergence / Lipschitz-type conditions / Variational inequality problem
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Click here to see the statistics on "Journal of Inequalities and Applications" .