Inertial Extragradient Algorithms for Solving Equilibrium Problems

Authors: Nguyễn Thế Vinh, Lê Dũng Mưu,

https://doi.org/10.1007/s40306-019-00338-1

Publisher, magazine: ,

Publication year: 2019

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Abstract

We introduce two new algorithms based upon the extragradient and inertial methods for solving pseudomonotone equilibrium problems in real Hilbert spaces. Strong converge and weak convergence of the proposed algorithms are established under some mild assumptions. Numerical results show that the proposed algorithms are more efficient than some existing methods for equilibrium problems.

Tags: Inertial method; Extragradient algorithm; Variational inequality; Equilibrium problem; Pseudomonotone; Lipschitz-type inequality