A RELAXED PROJECTION METHOD FOR VARIATIONAL-INEQUALITIES

A RELAXED PROJECTION METHOD FOR VARIATIONAL-INEQUALITIES
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DOI:
10.1007/bf01589441
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发表时间:
1986-05-01
影响因子:
2.7
通讯作者:
FUKUSHIMA, M
FUKUSHIMA, M
中科院分区:
数学2区
文献类型:
--
作者:
FUKUSHIMA, M

文献摘要

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本文给出了求解变分不等式问题的投影方法的一个改进。所提出的算法的每一个迭代包括投影到一个半空间包含给定的闭凸集,而不是后者本身。因此,该算法可以很容易地实现,并在适当的条件下可以建立其全局收敛的解决方案。
This paper presents a modification of the projection methods for solving variational inequality problems. Each iteration of the proposed algorithm consists of projection onto a halfspace containing the given closed convex set rather than the latter set itself. The algorithm can thus be implemented very easily and its global convergence to the solution can be established under suitable conditions.