求解变分不等式的修正三步迭代法

J4 ›› 2009, Vol. 44 ›› Issue (6): 69-74.

求解变分不等式的修正三步迭代法

翟广福,范丽亚

聊城大学数学科学学院, 山东聊城 252059

收稿日期:2008-10-07 发布日期:2011-06-03

Modified threestep iterative method for solving variational inequalities

ZHAI Guangfu， FAN Liya

School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandon g, China

Received:2008-10-07 Published:2011-06-03
About author:ZHAI Guangfu(1980-), male, native of Liaocheng, Shandong, engages in method for solving variational inequalities. Email:zhaiguangfuzgf@163.com
Supported by:
This research is supported by National Natural Science Foundation of China (10871226)

摘要/Abstract

摘要：

为了求变分不等式问题的解集和非扩张映射的不动点集的公共点, 本文介绍了一种修正的三步迭代法, 并证明了在更弱的条件下该算法的强收敛性.

关键词: 三步迭代方法；变分不等式；非扩张映射；极大单调

Abstract:

A modified threestep iterative method for finding a common element of the solution set of a variational inequality problem and the set of fixed points of a nonexpansive mapping are introduced. We will study the strong convergence of the algorithm under weaker conditions.

Key words: threestep iterative method; variational inequality; nonexp ansive mapping; maximal monotonicity

中图分类号:

O178

. 求解变分不等式的修正三步迭代法[J]. J4, 2009, 44(6): 69-74.

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