论文标题
HADAMARD歧管上平衡问题的显式外算法
An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds
论文作者
论文摘要
在本文中，我们研究了一种新的外部算法，用于在哈达姆歧管上解决假酮平衡问题。该算法使用一个变量步骤Zize，该变量是在每次迭代中更新的，并基于某些以前的迭代。在温和的假设下讨论了所提出算法的收敛分析。如果平衡双方函数强烈假酮，则制定了新算法的收敛速率。提供了一个基本实验来说明算法的数值行为。本文提出的结果概括了一些相应的已知结果。
In this paper, we investigate a new extragradient algorithm for solving pseudomonotone equilibrium problems on Hadamard manifolds. The 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. The results presented in this paper generalize some corresponding known results.
