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徐梦薇

博士,准聘教授

徐梦薇,女,汉族,1987年10月,博士,准聘教授。

 

【工作与教育经历】

2022.12-至今 河北工业大学,理学院,准聘教授

 

2021.11-2022.11 河北工业大学,理学院,副教授

 

2020.06-2021.10 河北工业大学,理学院,讲师

 

2015.04-2020.05 天津大学,数学学院,讲师

 

2009.09–2015.04 大连理工大学,数学科学学院,博士

 

2010.09-2012.09 University of Victoria (加拿大)

                

2005.09-2009.07 大连理工大学,数学科学学院,学士

 

【研究领域】

 

双层规划问题理论与算法研究

 

【主讲课程】

 

最优化方法

 

【研究生招生学科方向】

 

硕士:数学、统计

 

【科研项目】

[1] 国家自然科学基金青年基金科研项目(NO.11601376),双层规划问题的二阶最优性条件与光滑函数方法,2017.01-2019.12。

[2] 河北省优秀青年基金项目(A2020202030),两阶段随机锥约束优化问题的稳定性分析,2020.01-2022.12。

[3] 主持国家自然科学基金面上项目(NO.12071342),双层规划问题的约束规范与光滑函数方法的研究,2021.01-2024.12。

[4] 主持河北省面上项目(A2025202027),

最小约束违背问题的析取优化理论与算法研究,2025.1-2027.12.

 

【代表性论文】

[1] Mengwei Xu, Jane J. Ye and Liwei Zhang, Smoothing SQP methods for solving degenerate nonsmooth constrained optimization problems with applications to bilevel programs, SIAM Journal on Optimization, 25: 1388-1410, 2015.

[2] Gui-Hua Lin, Mengwei Xu and Jane J. Ye, On solving simple bilevel programs with a nonconvex lower level program, Mathematical Programming,series A, 144, 277-305, 2014.

[3] Mengwei Xu and Jane J. Ye, A smoothing augmented Lagrangian method for solving simple bilevel programs, Computational Optimization and Applications, 59, 353-377, 2014.

[4] Mengwei Xu, Soon-Yi Wu and Jane J. Ye, Solving semi-infinite programs by smoothing projected gradient method, Computational Optimization and Applications,59, 591-616, 2014.

[5] Mengwei Xu, Jane J. Ye and Liwei Zhang, Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems, Journal of Global Optimization,62: 675-694, 2015.  

[6] Mengwei Xu and Jane J. Ye, Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs, Journal of Global Optimization,78:181-205, 2020.

[7] Mengwei Xu and Jane J. Ye, Relaxed constant positive linear dependence constraint qualification for disjunctive systems, Set-Valued and Variational Analysis, 31, 26, 2023, https://doi.org/10.1007/s11228-023-00683-2.

[8] Xiang Liu, Mengwei Xu (Corresponding Author) and Liwei Zhang, Second-order optimality conditions for bi-local solutions of bilevel programs, Optimization, 74(12): 2721-2743, 2025, https://doi. org/10.1080/02331934.2025.2468412.

[9] Xiang Liu, Mengwei Xu (Corresponding Author) and Liwei Zhang, The rate of convergence of augmented Lagrangianmethod for bilevel optimization problems with equality constraints, Journal of Global Optimization, https://doi. org/10.1007/s10898-025-01568-4, 2025.

[10] Qingying Hu, Mengwei Xu (Corresponding Author) and Bo Wang, Convergence properties of gradient-based methods for minimax problems with nonlinear constraints, Journal of Optimization Theory and Applications, 209, 13, 2026.  

【联系方式】

邮箱:xumengw9@163.com