SCIENCE ASIA

Volume 46, No. 06, Month DECEMBER, Year 2020, Pages 734 - 737

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

Wenjie Xu, Yigui Ou

Abstract Download PDF

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.

Keywords

general variational inequality, continuous method model, exponential stability

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