Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature
Year: 2024
Author: Teng-Teng Yao, Xiao-Qing Jin, Zhi Zhao
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 1 : pp. 195–222
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-093.130723
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 1 : pp. 195–222
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Variational inequality pseudomonotone vector field Hadamard manifold hyperplane projection method inertial term.