数学杂志2017，Vol.37Issue(3)：457-466,10.
一类线性约束变分不等式问题的幂罚函数法
POWER PENALTY METHOD FOR VARIATIONAL INEQUALITY PROBLEMS WITH A CLASS OF LINEAR CONSTRAINTS
杨波 1黄崇超2
作者信息
- 1. 武汉大学数学与统计学院,湖北武汉 430072
- 2. 长江大学工程技术学院,湖北荆州 434020
- 折叠
摘要
Abstract
In this paper, we study the problem that adopts power penalty method to solve a variational inequality (Ⅵ) problem with a class of linear constraints. Under certain conditions, by using the KKT condition of the Ⅵ, we transform the Ⅵ problem into an equivalent mixed complementarity problem and a new Ⅵ problem and analyze the existence and uniqueness of the solutions. In addition, we prove the existence of solution of the power penalty equations by degree theory and the uniqueness. At last, we prove the convergence of the power penalty method, in other words, the solution of the power penalty equations converges to the solution of the Ⅵ problem.关键词
变分不等式/线性约束/互补问题/幂罚函数法Key words
variational inequality/linear constraint/complementarity problem/power penalty method分类
数理科学引用本文复制引用
杨波,黄崇超..一类线性约束变分不等式问题的幂罚函数法[J].数学杂志,2017,37(3):457-466,10.
