| 摘要: |
| 提出求解混合变分不等式的一个新的迭代算法1,并且当f是非空闭凸集K上的指示函数时,得到求解经典变分不等式的迭代算法2.对于算法1,在假设混合变分不等式的解集非空及不需要limn→∞Un=0的条件下,证明迭代序列{un}收敛于混变分不等式的唯一解. |
| 关键词: 变分不等式 Ishikawa迭代 Lipschitz连续 |
| DOI： |
| 投稿时间：2008-04-18 |
| 基金项目:广西民族大学青年科学基金项目资助 |
|
| Some Iterative Algorithms for Mixed Variational Inequalities |
|
TANG Guo-ji1, ZHAO Kang-sheng2
|
| (1.College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China;2.College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, Jiangxi, 330063, China) |
| Abstract: |
| A new iterative algorithm 1 for solving mixed variational inequalities is proposed, and when f is the indicator function over a closed convex set K, we obtain algorithm 2 for solving classical variational inequalities. For algorithm 1 where limn→∞Un=0 is removed, suppose the solution set is noempty. That the iterative sequeuce {un}converges to the unique solution of mixed variational inequalities is proved. |
| Key words: variational inequalities Ishikawa iteration Lipschitz continuous |
