Research articles
ScienceAsia 46 (2020): 734-737 |doi:
10.2306/scienceasia1513-1874.2020.085
Exponential stability of the continuous method model
for solving general variational inequality problems
Wenjie Xu, Yigui Ou*
ABSTRACT: 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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Department of Mathematics, Hainan University, Haikou 570228 China |
* Corresponding author, E-mail: ouyigui@126.com
Received 31 Jul 2020, Accepted 7 Oct 2020
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