A Note on the Proximal Point Algorithm for Pseudomonotone Variational Inequalities on Hadamard Manifolds ~1

摘要

In this note, an approximate proximal point algorithm for variational inequalities involving pseudomonotone vector fields on Hadamard manifolds is investigated. By using the F-KKM theorem on Hadamard manifolds, the weak monotonicity condition in the main results of Tang et al. (The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds, Optim. Lett. (2013) 7: 779-790) is removed.