A SELF ADAPTIVE PARALLEL EXTRAGRADIENT METHOD AND GOLDEN RATIO FOR EQUILIBRIUM PROBLEM IN HADAMARD SPACES

In this manuscript, we present a self-adaptive parallel extragradient method together with a golden ratio model for solving pseudomonotone equilibrium problem in the settings of a Hadamard space. Under certain mild conditions, we proved a ∆− convergence of the generated sequence to a solution of the equilibrium problem. Our proposed method is structured in such a way that it is independent of the Lipschitz constants of the bifunction. Lastly, we provide several consequences and a numerical example to demonstrate the performance of our method. Numerous recent findings in the literature are improved and generalized by our result.