个人简历

龙宪军，男，博士，教授，硕士生导师，重庆市巴渝学者特聘教授，重庆市高等学校青年骨干教师资助计划获得者，重庆市“优化理论及应用”市级创新团队负责人，美国《数学评论》评论员，国家自然科学基金面上项目通讯评议专家，中国运筹学会决策科学分会理事，重庆市数学会常务理事，重庆市运筹学会副理事长，加拿大不列颠哥伦比亚大学访问学者。发表论文70余篇，被SCI收录47篇；主持国家级项目2项、省部级项目6项。主要讲授课程：运筹与优化、博弈论与信息经济学、微积分、线性代数、概率论与数理统计
主要科研成果：
一、项目：
1、随机变分不等式问题的收敛性和误差界分析，重庆市基础与前沿研究计划一般项目,2018.7.1-2021.6.30，经费10万，主持(cstc2018jcyjAX0119)
2、优化理论及应用，重庆高校创新团队建设计划，2016.7-2019.6,经费30万，负责人（CXTDX201601026）
3、复合优化问题的最优性条件和对偶理论及相关问题研究,重庆市基础与前沿研究计划重点项目,2015.12.16-2018.12.15，经费20万，主持(cstc2015jcyjB00001)
4、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，2015.1-2018.12，经费60万，主持(11471059)
5、非凸半无限规划问题若干对偶和稳定性研究,重庆市基础与前沿研究计划一般项目，2014.7-2017.6，经费5万，主持(cstc2014jcyjA00037)
6、半无限向量优化理论及相关问题研究，重庆市高等学校青年骨干教师资助计划，2014.1-2015.12，经费6万，主持
7、半无限多目标规划最优条件及稳定性研究，重庆市教委科学技术研究项目，2014.1-2016.7，经费3万，主持(KJ1400618)
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，2011.1-2013.12，经费17万，主持(11001287)
9、非凸非光滑多目标规划问题的理论研究及应用，重庆市教委科学技术研究项目，2010.1-2011.12，经费2万，主持(KJ100711)
10、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，2010.8-2013.8，经费1.5万，主持(CSTC2010BB9254)
二、获奖：
1、彭建文、龙宪军、陈哲，向量平衡问题及其在经济均衡问题中的应用，重庆市人民政府，重庆市科学技术奖自然科学奖，三等奖，2012.

研究领域

随机优化与风险管理、多目标规划理论及应用、金融数学与统计决策

近期论文

[1]LongXian-Jun,XiaoYi-Bin,HuangNan-Jing,OptimalityConditionsofApproximateSolutionsforNonsmoothSemi-infiniteProgrammingProblems,JournaloftheOperationsResearchSocietyofChina,6,289-299(2018)
[2]LongXian-Jun,SunXiang-Kai,PengZai-Yun,ApproximateOptimalityConditionsforCompositeConvexOptimizationProblems,JournaloftheOperationsResearchSocietyofChina,5,469-485(2017)
[3]LongXian-Jun,PengZai-Yun,SunXiang-KaiandLiXiao-Bing,Genericstabilityofthesolutionmappingforsemi-infinitevectoroptimizationproblemsinBanachspaces,PacificJournalofOptimization,13,593-605(2017).
[4]Long,X.J.,Peng,Z.Y.,Wang,X.F.,Characterizationsofthesolutionsetfornonconvexsemi-infiniteprogrammingproblems,JournalofNonlinearandConvexAnalysis,17,251-265(2016)
[5]Long,X.J.,Peng,Z.Y.,Sun,X.K.,Levitin-Polyakwell-posednessforgeneralizedsemi-infinitemultiobjectiveprogrammingproblems,JournalofInequalitiesandApplications,2016:12(2016)
[6]Long,X.J.,Peng,J.W.,Peng,Z.Y.,Scalarizationandpointwisewell-posednessforsetoptimizationproblems,JournalofGlobalOptimization,62,763-773(2015)
[7]Long,X.J.,Huang,Y.Q.,Tang,L.P.,Genericstabilityofthesolutionmappingforset-valuedoptimizationproblems,JournalofInequalitiesandApplications,2015:349(2015)
[8]Long,X.J.,Peng,J.W.,Li,X.B.,Weaksubdifferentialsforset-valuedmappings,JournalofOptimizationTheoryandApplications,162,1-12(2014)
[9]Long,X.J.,Huang,N.J.,Optimalityconditionsforminimizingthedifferenceofnonconvexvector-valuedmappings,OptimizationLetters,8,1861-1872(2014)
[10]Long,X.J.,Huang,N.J.,Optimalityconditionsforefficiencyonnonsmoothmultiobjectiveprogrammingproblems,TaiwaneseJournalofMathematics,18,687-699(2014).
[11]Long,X.J.,Sufficiencyanddualityfornonsmoothmultiobjectiveprogrammingproblemsinvolvinggeneralizedunivexfunctions,JournalofSystemsScienceandComplexity,26,1002-1018(2013).
[12]Long,X.J.,Li,X.B.,andZeng,J.,Lagrangianconditionsforapproximatesolutionsonnonconvexset-valuedoptimizationproblems,OptimizationLetters,7,1847–1856(2013).
[13]Long,X.J.,Quan,J.,Wen,D.J.,Properefficiencyforset-valuedoptimizationproblemsandvectorvariational-likeinequalities,BulletinoftheKoreanMathematicalSociety,50,777–786(2013).
[14]Long,X.J.,Peng,J.W.,Lagrangiandualityforvectoroptimizationproblemswithset-valuedmappings,TaiwaneseJournalofMathematics,17,287-297(2013).
[15]Long,X.J.,Peng,J.W.,GeneralizedB-well-posednessforsetoptimizationproblems,JournalofOptimizationTheoryandApplications,157,612-623(2013).
[16]Long,X.J.,Peng,J.W.,Wong,M.M.,Generalizedradialepiderivativesandnonconvexset-valuedoptimizationproblems,ApplicableAnalysis,91,1891-1900(2012).
[17]Long,X.J.,Peng,J.W.,Wu,S.Y.,Generalizedvectorvariational-likeinequalitiesandnonsmoothvectoroptimizationproblems,Optimization,61,1075-1086(2012).
[18]Long,X.J.,Peng,J.W.,Connectednessandcompactnessofweakefficientsolutionsforvectorequilibriumproblems,BulletinoftheKoreanMathematicalSociety,48,1225-1233(2011).
[19]Long,X.J.,Huang,Y.Q.,Peng,Z.Y.,OptimalityconditionsfortheHenigefficientsolutionofvectorequilibriumproblemswithconstraints,OptimizationLetters,5,717-728(2011).
[20]Long,X.J.,Optimalityconditionsanddualityfornondifferentiablemultiobjectivefractionalprogrammingproblemswith(C,α,ρ,d)-convexity,JournalofOptimizationTheoryandApplications,148,197–208(2011).
[21]Long,X.J.,Huang,N.J.,LipschitzB-preinvexfunctionsandnonsmoothmultiobjectiveprogramming,PacificJournalofOptimization,7,83-95(2011).
[22]Long,X.J.,Huang,N.J.,O’Regan,D.,Farkas-typeresultsforgeneralcomposedconvexoptimizationproblemswithinequalityconstraints,MathematicalInequalities&Applications,13,135-143(2010).
[23]Long,X.J.,Peng,Z.Y.,Zeng,B.,Remarkonconesemistrictlypreinvexfunctions,OptimizationLetter,3,337-345(2009).
[24]Long,X.J.,Huang,N.J.,Metriccharacterizationsofalpha-well-posednessforsymmetricquasi-equilibriumproblems,JournalofGlobalOptimization,45,459-471(2009).
[25]Long,X.J.,Huang,N.J.,Teo,K.L.,Existenceandstabilityofsolutionsforgeneralizedstrongvectorquasi-equilibriumproblem,MathematicalandComputerModelling,47,445-451(2008).
[26]Long,X.J.,Huang,N.J.,Liu,Z.B.,Optimalityconditions,dualityandsaddlepointsfornondifferentiablemultiobjectivefractionalprograms,JournalofIndustrialandManagementOptimization,4,287-298(2008).
[27]Long,X.J.,Huang,N.J.,Teo,K.L.,Levitin-polyakwell-posednessforequilibriumproblemswithfunctionalconstraints,JournalofInequalitiesandApplications,2008(2008),AD657329,14pages.
[28]Long,X.J.,Peng,J.W.,Semi-B-preinvexfunctions,JournalofOptimizationTheoryandApplication,131,301-305(2006).