Hilbert空间广义变分不等式的迭代方法

重庆交通大学学报（自然科学版） ›› 2006, Vol. 25 ›› Issue (1): 159-161.

Hilbert空间广义变分不等式的迭代方法

雷鸣

重庆交通学院信息与计算科学研究所，重庆 400074

收稿日期:2004-11-15 修回日期:2005-03-15 出版日期:2006-02-15 发布日期:2015-05-18
作者简介:雷鸣(1961—)，男，辽宁丹东人，主要从事非线性泛函分析及其应用研究

Iterative methods for generalized variational inequalities in hilbert space

LEI Ming

Institute of Information ＆ Calculation Science，Chongqing Jiaotong University，Chongqing 400074，China

Received:2004-11-15 Revised:2005-03-15 Online:2006-02-15 Published:2015-05-18

摘要/Abstract

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．

关键词: 变分不等式, 辅助原则, 迭代方法, 收敛

Abstract: we use the auxiliary principle technique to suggest a of predictor-corrector 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

Key words: variational inequalities, auxiliary principle, iterafive methods, convergence

中图分类号:

O177.92

雷鸣. Hilbert空间广义变分不等式的迭代方法[J]. 重庆交通大学学报（自然科学版）, 2006, 25(1): 159-161.

LEI Ming. Iterative methods for generalized variational inequalities in hilbert space[J]. Journal of Chongqing Jiaotong University(Natural Science), 2006, 25(1): 159-161.

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