龙宪军，博士，教授，博士生导师，重庆工商大学数学与统计学院副院长，重庆市学术技术带头人，重庆市巴渝学者，重庆市数理类专业教学指导委员会委员，“优化理论及应用”重庆市高校创新团队负责人，重庆市高等学校青年骨干教师资助计划，加拿大不列颠哥伦比亚大学访问学者。现任中国运筹学会数学规划分会理事、中国运筹学会决策科学分会理事、重庆市运筹学会副理事长、重庆市数学会副理事长。目前担任《重庆工商大学学报自然科学版》《Fixed Point Methods and Optimization》编委。在《J.Global Optim.》《J. Optim. Theory Appl.》《J. Comput. Appl. Math.》《Commu. Nonlinear Science Numer. Simul.》《Appl. Numer. Math.》等重要学术刊物上发表论文100多篇，其中被SCI收录75篇。主持国家级项目2项（面上和青年项目各一项）、重庆市自然科学基金7项（其中重点1项），重庆市教委科学技术项目4项（其中重点2项）；获得重庆市自然科学奖三等奖3项。

研究方向：随机优化、统计机器学习、金融风险管理、投资组合

招生专业：统计学博士，应用统计专硕，数学学硕

对研究生要求：1、有志于从事科学研究；2、具有较好的数学、统计和英语基础；3、做事认真、踏实、负责。

联系方式：xianjunlong@ctbu.edu.cn

主要科研成果：

一、主持的代表性项目： 

[1] 非凸复合优化问题的临近点算法研究，重庆市自然科学基金面上项目， (CSTB2024NSCQ-MSX1282)

[2] 变分不等式问题的外梯度投影算法研究，重庆市自然科学基金面上项目（cstc2021jcyj-msxmX0721）

[3] 随机变分不等式问题的收敛性和误差界分析，重庆市自然科学基金面上项目(cstc2018jcyjAX0119)

[4] 优化理论及应用，重庆高校创新团队建设计划（CXTDX201601026）

[5] 复合优化问题的最优性条件和对偶理论及相关问题研究, 重庆市自然科学基金重点项目 (cstc2015jcyjB00001)

[6] 非凸半无限规划理论若干新问题研究, 国家自然科学基金面上项目(11471059)

[7] 非凸半无限规划问题若干对偶和稳定性研究, 重庆市自然科学基金面上项目 (cstc2014jcyjA00037)

[8] 非凸集值优化问题的理论及应用研究, 国家自然科学基金青年基金(11001287)

[9] 非凸向量优化和向量均衡问题的理论研究及其在经济中的应用, 重庆市自然科学基金一般项目 (CSTC2010BB9254)

二、发表的代表性论文:

[1] Long Xian-Jun, Nie Jia-Lin, Gou Zhun, Sun Xiang-Kai, Li Gao-Xi, An accelerated preconditioned primal-dual gradient algorithm for structured nonconvex optimization problems, Communications in Nonlinear Science and Numerical Simulation,153, 109480 (2026)

[2] Long Xian-Jun, Zeng Kang, Li Gao-Xi, Dao Minh N., Peng Zai-Yun, Variable smoothing alternating proximal gradient algorithm for coupled composite optimization, Journal of Optimization Theory and Application, 209, 19 (2026)

[3] Long Xian-Jun, Yang Jing, Yang Zhen-Ping, Stochastic Bregman extragradient algorithm with line search for stochastic mixed variational inequalities, Optimization, 74, 1321-1353 (2025)

[4] Long Xian-Jun, Yang Jing, A stochastic Bregman golden ratio algorithm for non-Lipschitz stochastic mixed variational inequalities with application to resource share problems, Journal of Computational and Applied Mathematics, 459, 116381 (2025)

[5] Long Xian Jun, Wang Xiao Ting, Li Gao Xi, Li Geng Hua, A Bregman proximal subgradient algorithm for nonconvex and nonsmooth fractional optimization problems, Applied Numerical Mathematics, 202, 209-221(2024)

[6] Long Xian-Jun, Zhang Wen, Li Geng-Hua, Peng Jian-Wen, Approximate quasi-efficient solutions of nonsmooth multiobjective semi-infinite programming problems in terms of tangential subdifferentials, Journal of Nonlinear and Convex Analysis, 25, 2487-2506

[7] Long Xian-Jun, Yang Jing, Cho Yeol Je, Modified subgradient extragradient algorithms with a new line-search rule for variational inequalities, Bulletin of the Malaysian Mathematical Sciences Society, 46, 140(2023)

[8] Long Xian-Jun, He Yue-Hong, A fast stochastic approximation-based subgradient extragradient algorithm with variance reduction for solving stochastic variational inequality problems, Journal of Computational and Applied Mathematics, 420, 114786 (2023)

[9] Liu Juan, Long Xian-Jun, Sun Xiang-Kai, Characterizing robust optimal solution sets for nonconvex uncertain semi-infinite programming problems involving tangential subdifferentials, Journal of Global Optimization, 87, 481-201(2023)

[10] He Yue-Hong, Long Xian-Jun, Avariance-based proximal backward-forward algorithm with line search for stochastic mixed variational inequalities, Pacific Journal of Optimization, 18, 713-735 (2022)

[11] Long Xian-Jun, Liu Juan, Huang Nan-Jing, Characterizing the solution set for nonconvex semi-infinite programs involving tangential subdifferentials, Numerical Functional Analysis and Optimization, 42,279-297(2021)

[12] Sun Xiang-Kai, Teo Kok Lay, Long Xian-Jun, Some characterizations of approximate solutions for robust semi-infinite optimization problems, Journal of Optimization Theory and Applications, 191, 281-310(2021)

[13] Sun Xiang-Kai, Teo Kok Lay, Long Xian-Jun, Characterizations of robust epsilon-quasi optimal solutions for nonsmooth optimization problems with uncertain data, Optimization, 70, 847-870(2021).

[14] Long Xian-Jun, Peng Zai-Yun, Wang Xianfu, Stable Farkas lemmas and duality for nonconvex composite semi-infinite programming problems, Pacific Journal of Optimization, 15, 295-315(2019)

[15] Long Xian-Jun, Xiao Yi-Bin, Huang Nan-Jing, Optimality conditions of approximate solutions for nonsmooth semi-infinite programming problems, Journal of the Operations Research Society of China, 6, 289-299(2018)

[16] Peng Zai-Yun, Peng Jian-Wen, Long Xian-Jun, Yao Jen-Chih, On the stability of solutions for semi-infinite vector optimization problems, Journal of Global Optimization, 70, 55-69(2018). (SCI)

[17] Long Xian-Jun, Peng Zai-Yun, Wang Xianfu, Characterizations of the solution set for nonconvex semi-infinite programming problems, Journal of Nonlinear and Convex Analysis, 17, 251-265 (2016)

[18] Long Xian-Jun, Peng Jian-Wen, Peng Zai-Yun, Scalarization and pointwise well-posedness for set optimization problems, Journal of Global Optimization, 62,763-773(2015)

[19] Sun Xiang-Kai, Long Xian-Jun, Chai Yi, Sequential optimality conditions for fractional optimization with applications to vector optimization, Journal of Optimization Theory and Applications, 164, 479-499(2015)

[20] Long X.J., Peng J.W., Li X.B., Weak subdifferentials for set-valued mappings, Journal of Optimization Theory and Applications, 162, 1-12(2014)

[21] Long X.J., Peng J.W., Generalized B-well-posedness for set optimization problems, Journal of Optimization Theory and Applications, 157, 612-623(2013)

[22] Long Xian-Jun, Peng Jian-Wen, Wu S.Y., Generalized vector variational-like inequalities and nonsmooth vector optimization problems, Optimization, 61, 1075-1086(2012)

[23] Long X.J., Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with (C,α,ρ,d)-convexity, Journal of Optimization Theory and Applications, 148, 197-208(2011)

[24] Long Xian-Jun, Huang Nan-Jing, Metric characterizations of alpha-well-posedness for symmetric quasi-equilibrium problems, Journal of Global Optimization, 45, 459-471(2009)

[25] Long X.J., Peng J.W., Semi-B-preinvex functions, Journal of Optimization Theory and Application, 131, 301-305(2006)

三、省部级及以上科研奖励

[1] 龙宪军、黄南京、方亚平、孙祥凯，向量优化与向量均衡理论及应用研究，重庆市人民政府，重庆市科学技术奖自然科学奖，三等奖，2019年

[2] 孙祥凯、龙宪军，不确定优化问题的鲁棒对偶理论、方法及应用，重庆市人民政府，重庆市科学技术奖自然科学奖，三等奖，2022年

四、研究生培养

2017年至今，共招收博士研究生和硕士研究生15名，指导研究生发表学术论文36篇，其中被SCI收录15篇。获得重庆市优秀硕士学位论文1篇、重庆工商大学优秀硕士学位论文4篇；获得重庆市研究生科技创新项目3项；获得国家奖学金7人次。攻读博士研究生4人：17级宋慧慧（福州大学）、19级刘娟（四川大学）、20级贺月红（四川大学）、21级杨静（上海大学）。宋慧慧于2025年获得国家自然科学基金青年基金。