| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 6, December 2024
|
|
|---|---|---|
| Page(s) | 539 - 546 | |
| DOI | https://doi.org/10.1051/wujns/2024296539 | |
| Published online | 07 January 2025 | |
Mathematics
CLC number: O221
An Improvement of the Quantitative Stability Analysis for the Two-Stage Stochastic Variational Inequality Problems
关于两阶段随机变分不等式问题定量稳定性分析的改进
School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, Guangxi, China
† Corresponding author. E-mail: liujianxuncqu@163.com
Received:
16
September
2023
This paper extends the quantitative stability results to a more general class of two-stage stochastic variational inequality problems (TSVIP). The existence of solutions to the TSVIP is discussed, and the quantitative relationship between the TSVIP and its distribution perturbed problem is derived.
摘要
本文将定量稳定性结果扩展至更一般类别的两阶段随机变分不等式问题，讨论了该问题解的存在性，并推导了该问题与其分布扰动问题之间的定量关系，得到了一些改进的结果。
Key words: two-stage stochastic variational inequality problems / residual function / quantitative stability analysis / sample averageapproximation
关键字 : 两阶段随机变分不等式问题 / 残差函数 / 定量稳定性分析 / 样本平均近似法
Cite this article: WANG Zhenlong, LIN Liqin, WANG Yiting, et al. An Improvement of the Quantitative Stability Analysis for the Two-Stage Stochastic Variational Inequality Problems[J]. Wuhan Univ J of Nat Sci, 2024, 29(6): 539-546.
Biography: WANG Zhenlong, male, Undergraduate, research direction: optimization research. E-mail: 2642411625@qq.com
Foundation item: Supported by the Guangxi Natural Science Foundation (2024GXNSFBA010345) and the Innovation and Entrepreneurship Training Program of Guangxi Minzu University (S202310608001)
© Wuhan University 2024
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