龙宪军,博士,教授,博士生导师,beat365中文官方网站副经理,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团队助计划,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《beat365官方登录入口学报自然科学版》编委。在《Journal of Global Optimization》、《Journal of Optimization Theory and Applications》、《Journalof Computational and Applied Mathematics》等重要学术刊物上发表论文100多篇,其中被SCI收录65篇。主持国家级项目2项、省部级项目8项;获得重庆市自然科学奖三等奖3项。
研究方向:优化理论与算法、统计机器学习、金融风险管理、投资组合
主要讲授课程:运筹与优化、泛函分析、微积分、线性代数、概率论与数理统计
对研究生要求:1、有志于从事科学研究;2、具有较好的数学和英语基础;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、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)
2、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)
3、优化理论及应用,重庆高校创新团队建设计划(CXTDX201601026)
4、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)
5、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)
6、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)
7、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)
8、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, Yang Jing, Yang Zhen-Ping, Stochastic Bregman extragradient algorithm with line search for stochastic mixed variational inequalities, Optimization, (2024) (SCI)
[2] 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) (SCI)
[3] Long Xian-Jun, He Yue-Hong, A fast stochastic approximation-based subgradient extragradient algorithm with variance reduction for solving stochastic variational inequality problems, Journalof Computational and Applied Mathematics, 420, 114786 (2023). (SCI)
[4] 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). (SCI)
[5] 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). (SCI)
[6] 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). (SCI)
[7] Sun Xiang-Kai, Teo K.L., Long Xian-Jun, Some characterizations of approximate solutions for robust semi-infinite optimization problems, Journal of Optimization Theory and Applications, 191, 281-310(2021). (SCI)
[8] 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). (SCI)
[9] 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). (SCI)
[10] 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)
[11] 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). (SCI)
[12] 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). (SCI)
[13] 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). (SCI)
[14] 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). (SCI)
[15] Long X.J., Peng J.W., Generalized B-well-posedness for set optimization problems,Journal of Optimization Theory and Applications, 157, 612-623(2013). (SCI)
[16] Long Xian-Jun, Peng Jian-Wen, Wu S.Y., Generalized vector variational-like inequalities and nonsmooth vector optimization problems, Optimization, 61,1075-1086(2012). (SCI)
[17] 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). (SCI)
[18] 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). (SCI)
[19] Long X.J., Peng J.W., Semi-B-preinvex functions, Journal of Optimization Theory and Application, 131, 301-305(2006). (SCI)