Exponential stability of the continuous method model for solving general variational inequality problems

Exponential stability of the continuous method model for solving general variational inequality problems
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求解一般变分不等式问题的连续法模型的指数稳定性

DOI:
10.2306/scienceasia1513-1874.2020.085
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发表时间:
2020
期刊:
影响因子:
1.2
通讯作者:
Yigui Ou
Yigui Ou
中科院分区:
综合性期刊4区
文献类型:
--
作者:
Wenjie Xu;Yigui Ou

文献摘要

参考文献

相似文献

在Ou和Lin [Int J computer Math 93(2016): 1899-1920]中,提出了一种求解具有凸约束的一般变分不等式问题的连续方法模型。但是,只建立了模型的收敛性,没有分析模型的稳定性。在本文中,我们进一步研究了所提出的模型,并建立了它在一些温和条件下的指数稳定性。此外,在较弱的条件下,还得到了两种特殊情况下的稳定性结果。
In Ou and Lin [Int J Comput Math 93(2016):1899–1920], a continuous method model for solving general variational inequality problems with convex constraints was proposed. However, only the convergence property of the proposed model was established, while the stability property was not analyzed. In this paper, we further study the proposed model and establish its exponential stability property under some mild conditions. Furthermore, the stability results on two special cases are also obtained under weaker conditions.
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