An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds

被引：0
作者：
Jingjing Fan
Bing Tan
Songxiao Li
机构：
[1] University of Electronic Science and Technology of China,Institute of Fundamental and Frontier Sciences
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Equilibrium problem; Hadamard manifold; Extragradient algorithm; Pseudomonotone bifunction; Lipschitz-type bifunction; 47H05; 47J25; 90C33; 91B50;
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学科分类号：
摘要：
In this paper, we investigate a new extragradient algorithm for solving pseudomonotone equilibrium problems on Hadamard manifolds. Our algorithm uses a variable stepsize, which is updated at each iteration and based on some previous iterates. The convergence analysis of the proposed algorithm is discussed under mild assumptions. In the case where the equilibrium bifunction is strongly pseudomonotone, the R-linear rate of convergence of the new algorithm is formulated. A fundamental experiment is provided to illustrate the numerical behavior of the algorithm.
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