Hilbert空间广义变分不等式的迭代方法  

Iterative methods for generalized variational inequalities in hilbert space

作　　者：雷鸣[1] 

机构地区：[1]重庆交通学院信息与计算科学研究所 重庆400074

出　　处：《重庆交通学院学报》2006年第1期159-161,168,共4页Journal of Chongqing Jiaotong University

摘　　要：应用辅助原则技术,在部分相关强单调和非空有界闭子集条件下,提出了一个解广义变分不等式问题的预测校正算法.作为应用,给出了许多解不同类型变分不等式的新的结果.we use the auxiliary principle technique to suggest a of predictor-eorreetor algorithms for solving generalized variational inequalities. The convergence of the method only requires the partially relaxed strongly monotonicity and nonempty bounded closed subsets of the operator. As for applications, we obtain a number of known and new results for solving various classes of variational inequalities.

关 键 词：变分不等式 辅助原则 迭代方法 收敛 

分 类 号：O177.92[理学—数学]