TY - JOUR
T1 - Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature
AU - Yao , Teng-Teng
AU - Jin , Xiao-Qing
AU - Zhao , Zhi
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 195
EP - 222
PY - 2024
DA - 2024/01
SN - 14
DO - http://doi.org/10.4208/eajam.2023-093.130723 
UR - https://global-sci.org/intro/article_detail/eajam/22325.html
KW - Variational inequality, pseudomonotone vector field, Hadamard manifold, hyperplane projection method, inertial term.
AB - <p style="text-align: justify;">In this paper, we are concerned with solving variational inequalities on Hadamard manifolds, the curvature of which is bounded from below. The underlying vector
field is assumed to be continuous and pseudomonotone. By combining the hyperplane
projection method and the inertial extrapolation technique, a Halpern-type method is
proposed. Under some mild assumptions, global convergence of the proposed algorithm is established. Numerical experiments are reported to show the efficiency of the
proposed algorithm.</p>