应用数学2022，Vol.35Issue(2)：280-290,11.
求解均衡问题的内部束方法
An Interior Bundle Method for Solving Equilibrium Problems
摘要
Abstract
In this paper,by incorporating a logarithmic-quadratic function into the bundle method developed by Lemaréchal and Wolfe (1975),we propose an interior bundle method for solving nonsmooth equilibrium problems.On one hand,the algorithm extends the bundle algorithm for equilibrium problems described by Nguyen et al.(2006) to our setting.The sequence generated by the proposed algorithm belongs to the interior of the set.On the other hand,we provide a natural extension of interior bundle methods to nonsmooth equilibrium problems.关键词
均衡问题/内部束方法/logarithmic二次函数Key words
Equilibrium problem/Interior bundle method/Logarithmic-quadratic function分类
数理科学引用本文复制引用
高辉,高胜哲..求解均衡问题的内部束方法[J].应用数学,2022,35(2):280-290,11.基金项目
Supported by General items of Liaoning Provincial Department of Education of China(JL202016,LJKZ0732),the National Natural Science Foundation of China(11801054) （JL202016,LJKZ0732）
