个人信息：

孟开文，教授，博导

西南财经大学数学学院，金融系

电子邮箱：mengkw AT swufe.edu.cn

简历：

2011年10月于香港理工大学应用数学系取得哲学博士学位，主要从事最优化理论、算法和应用研究，主持国家自然科学基金青年和面上项目各一项。在SIAM Journal on Optimization，Operations Research，Mathematical Programming，Journal of Machine Learning Research，Journal of Global Optimization，Journal of Convex Analysis等期刊上发表学术论文十余篇。

主持项目：

• 2017.01-2020.12：国家自然科学基金面上项目《基数约束多目标线性规划问题研究：理论、算法和应用》

• 2013.01-2015.12：国家自然科学基金青年项目《低次罚问题的最优性条件及其应用》

学术与社会服务：

• Journal of Optimization Theory and Applications，Journal of Industrial and Management Optimization，Optimization，Optimization Methods & Software，SIAM Journal on Optimization等SCI学术期刊审稿人

• 四川数学理事会理事

代表性论文：

• Li, M. H., Meng, K. W., & Yang, X. Q. (2025). Kurdyka-Łojasiewicz inequality and error bounds of D-gap functions for nonsmooth and nonmonotone variational inequality problems. Journal of Global Optimization, 93, 833-860.

• Meng, K. W., Wu, P., & Yang, X. (2024). Lipschitz continuity of solution multifunctions of extended regularization problems. arXiv, arXiv:2406.16053.

• Yao, W., Meng, K. W., Li, M., & Yang, X. (2023). Projectional coderivatives and calculus rules. Set-Valued and Variational Analysis, 31, 36.

• Li, M., Meng, K. W., & Yang, X. (2023). Variational analysis of Kurdyka-Łojasiewicz property, exponent and modulus. arXiv, arXiv:2308.15760.

• Meng, K. W., Yang, H., Yang, X., & Wai Yu, C. K. (2022). Portfolio optimization under a minimax rule revisited. Optimization, 71, 877-905.

• Meng, K. W., Li, M. H., Yao, W. F., & Yang, X. Q. (2021). Lipschitz-like property relative to a set and the generalized Mordukhovich criterion. Mathematical Programming, 189, 455-489.

• Hu, Y., Li, C., Meng, K. W., & Yang, X. (2021). Linear convergence of inexact descent method and inexact proximal gradient algorithms for lower-order regularization problems. Journal of Global Optimization, 79, 853-883.

• Pan, S., Lu, S., Meng, K. W., & Zhu, S. (2021). Trade-off ratio functions for linear and piecewise linear multi-objective optimization problems. Journal of Optimization Theory and Applications, 188, 402-419.

• Li, M., Meng, K. W., & Yang, X. (2020). On far and near ends of closed and convex sets. Journal of Convex Analysis, 27, 407-421.

• Li, M. H., Meng, K. W., & Yang, X. Q. (2018). On error bound moduli for locally Lipschitz and regular functions. Mathematical Programming, 171, 463-487.

• Hu, Y., Li, C., Meng, K. W., Qin, J., & Yang, X. (2017). Group sparse optimization via ℓp, q regularization. Journal of Machine Learning Research, 18, 1-52.

• Meng, K. W., & Yang, X. (2016). Variational analysis on local sharp minima via exact penalization. Set-Valued and Variational Analysis, 24, 619-635.

• Tian, B., Yang, X., & Meng, K. W. (2016). An interior-point ℓ1/2-penalty method for inequality constrained nonlinear optimization. Journal of Industrial and Management Optimization, 12, 949-973.

• Fang, Y. P., Meng, K. W., & Yang, X. Q. (2015). On minimal generators for semi-closed polyhedra. Optimization, 64, 761-770.

• Meng, K. W., Roshchina, V., & Yang, X. (2015). On local coincidence of a convex set and its tangent cone. Journal of Optimization Theory and Applications, 164, 123-137.

• Meng, K. W., & Yang, X. (2014). First- and second-order necessary conditions via exact penalty functions. Journal of Optimization Theory and Applications.

• Yang, X., & Meng, K. W. (2014). Comments on: Farkas’ Lemma: three decades of generalizations for mathematical optimization. TOP, 22, 38-40.

• Meng, K. W., & Yang, X. Q. (2012). Equivalent conditions for local error bounds. Set-Valued and Variational Analysis, 20, 617-636.

• Fang, Y. P., Meng, K. W., & Yang, X. Q. (2012). Piecewise linear multicriteria programs: the continuous case and its discontinuous generalization. Operations Research, 60, 398-409.

• Meng, K. W., & Yang, X. Q. (2010). Optimality conditions via exact penalty functions. SIAM Journal on Optimization, 20, 3208-3231.

• Li, S. J., Meng, K. W., & Penot, J. P. (2009). Calculus rules for derivatives of multimaps. Set-Valued and Variational Analysis, 17, 21-39.

• Meng, K. W., Li, S. J., & Yang, X. Q. (2009). A robust SQP method based on a smoothing lower order penalty function. Optimization, 58, 23-38.

• Meng, K. W., & Li, S. J. (2008). Differential and sensitivity properties of gap functions for Minty vector variational inequalities. Journal of Mathematical Analysis and Applications, 337, 386-398.

• Wen, J., Meng, K. W., Wu, H., & Wu, Z. A. (2005). A novel clustering algorithm based upon a SOFM neural network family. International Symposium on Neural Networks, 69-74.

• Chun-rong, C., Meng, K. W., & Li, S. J. (2007). On a New Lower Order Exact Penalty Function. Journal of Chongqing University (Natural Science Edition), 123-126.