Modified extragradient algorithms for solving equilibrium problems

Dang Van Hieu, Yeol Je Cho, Yi‐bin Xiao · Optimization · 2018

In this paper, we introduce some new algorithms for solving the equilibrium problem in a Hilbert space which are constructed around the proximal-like mapping and inertial effect. Also, some convergence theorems of the algorithms are established under mild conditions. Finally, several experiments are performed to show the computational efficiency and the advantage of the proposed algorithm over other well-known algorithms.

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