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A new class of projection and contraction methods for solving variational inequality problems

机译:解决变分不等式问题的一类新的投影和收缩方法

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This paper presents a new class of projection and contraction methods for solving monotone variational inequality problems. The methods can be viewed as combinations of some existing projection and contraction methods and the method of shortest residuals, a special case of conjugate gradient methods for solving unconstrained nonlinear programming problems. Under mild assumptions, we show the global convergence of the methods. Some preliminary computational results are reported to show the efficiency of the methods. (C) 2006 Elsevier Ltd. All rights reserved.
机译:本文提出了用于解决单调变分不等式问题的一类新的投影和收缩方法。这些方法可以看作是一些现有的投影和收缩方法以及最短残差方法的组合,这是共轭梯度法解决无约束非线性规划问题的一种特殊情况。在温和的假设下,我们显示了方法的全局收敛性。据报道,一些初步的计算结果表明了该方法的有效性。 (C)2006 Elsevier Ltd.保留所有权利。

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