A subgradient extragradient algorithm for solving multi-valued variational inequality

A subgradient extragradient algorithm for solving multi-valued variational inequality
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DOI：
10.1016/j.amc.2013.12.039
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发表时间：
2014-02
期刊：
Appl. Math. Comput.
影响因子：
--
通讯作者：
Chang-jie Fang;Sheng-lan Chen
Chang-jie Fang;Sheng-lan Chen
中科院分区：
其他
文献类型：
--
作者：
Chang-jie Fang;Sheng-lan Chen

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本文提出了一种求解多值变分不等式的次梯度法。证明了当多值映射是具有非空紧凸值的伪单调时，该方法全局收敛于多值变分不等式的解。分析了收敛速度。本文还报道了初步的计算经验。
In this paper, we propose a subgradient extragradient method for solving multi-valued variational inequality. It is showed that the method converges globally to a solution of multi-valued variational inequality, provided the multi-valued mapping is pseudomonotone with nonempty compact convex values. Convergence rate is analyzed. Preliminary computational experience is also reported.