数学
趋同(经济学)
变分不等式
极小极大
应用数学
动力系统理论
上下界
自适应步长
动力系统(定义)
数学优化
数学分析
数值分析
物理
量子力学
经济
经济增长
作者
Xingxing Ju,Chuandong Li,Yu‐Hong Dai,Jiawei Chen
标识
DOI:10.1080/02331934.2022.2094795
摘要
A new dynamical system with self-adaptive dynamical stepsize is introduced for solving pseudomonotone mixed variational inequalities (MVIs). The globally stable convergence results of the proximal dynamical systems for solving pseudomonotone MVIs are established under some mild conditions. The upper bound formula of the convergence time of the proposed proximal dynamical systems is independent of the initial conditions. The proposed proximal dynamical system is also applied to solve composite optimization problems and minimax optimization problems. Finally, numerical examples are presented to validate the effectiveness of the proposed methods.
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