Extragradient-like method for pseudomontone equilibrium problems on Hadamard manifolds
Junfeng Chen, Sanyang Liu · Journal of Inequalities and Applications · 2020
Abstract This paper presents an extragradient-like method for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition on Hadamard manifolds. The algorithm only needs to know the existence of the Lipschitz-type constants of the bifunction, and the stepsize of each iteration is determined by the adjacent iterations. Convergence of the algorithm is analyzed, and its application to variational inequalities is also provided. Finally, several experiments are made to verify the effectiveness of the algorithms.