Convergence analysis of the extragradient method for equilibrium problems in Hadamard spaces

We propose an extragradient method for solving equilibrium problems of pseudo-monotone type in Hadamard spaces. We prove $$\Delta $$-convergence of the generated sequence to a solution of the equilibrium problem, under standard assumptions on the bifunction. Then, we propose a regularization procedure which ensures strong convergence of the generated sequence to an equilibrium point of the problem.