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向量优化问题的线性标量化方法和Lagrange乘子研究 期刊论文
中国科学:数学, 2020, 卷号: 000, 期号: 002, 页码: 253-268
作者:  杨新民;  陈光亚
收藏  |  浏览/下载:116/0  |  提交时间:2021/01/14
向量优化  广义凸性  择一定理  线性标量化  Lagrange乘子存在性  
Approximate proper efficiency in vector optimization 期刊论文
OPTIMIZATION, 2015, 卷号: 64, 期号: 8, 页码: 1777-1793
作者:  Zhao, Kequan;  Chen, Guangya;  Yang, Xinmin
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
nonlinear scalarization  linear scalarization  vector optimization  approximate solutions  approximate proper efficient solutions  90C26  90C29  90C30  90C46  
A nonlinear scalarization function and generalized quasi-vector equilibrium problems 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2005, 卷号: 32, 期号: 4, 页码: 451-466
作者:  Chen, GY;  Yang, XQ;  Yu, H
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
existence  generalized quasi-vector equilibrium  scalarization method  
Weak Pareto equilibria for multiobjective constrained games 期刊论文
APPLIED MATHEMATICS LETTERS, 2003, 卷号: 16, 期号: 5, 页码: 773-776
作者:  Yu, H
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
multiobjective constrained game  weak Pareto equilibria  scalarization method  
Generalized minimax inequalities for set-valued mappings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 卷号: 281, 期号: 2, 页码: 707-723
作者:  Li, SJ;  Chen, GY;  Teo, KL;  Yang, XQ
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30
minimax inequality  set-valued mapping  minimal point  maximal point  nonlinear scalarization function  
Characterizations of variable domination structures via nonlinear scalarization 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 卷号: 112, 期号: 1, 页码: 97-110
作者:  Chen, GY;  Yang, XQ
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
variable domination structures  nondominated solutions  nonlinear scalarization  vector optimization  vector variational inequality  
Near-subconvexlikeness in vector optimization with set-valued functions 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 卷号: 110, 期号: 2, 页码: 413-427
作者:  Yang, XM;  Li, D;  Wang, SY
收藏  |  浏览/下载:64/0  |  提交时间:2018/07/30
set-valued functions  vector optimization  nearly-subconvexlike functions  theorems of the alternative  scalarization  Lagrangian multiplier theorem  
Existence of a solution for generalized vector variational inequalities 期刊论文
OPTIMIZATION, 2001, 卷号: 50, 期号: 1-2, 页码: 1-15
作者:  Chen, GY;  Goh, CJ;  Yang, XQ
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
vector variational inequality  quasi-vector variational inequality  cone-quasi-convexity  nonlinear scalarization  
epsilon-weak minimal solutions of vector optimization problems with set-valued maps 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 卷号: 106, 期号: 3, 页码: 569-579
作者:  Rong, WD;  Wu, YN
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
set-valued maps  vector optimization problems  cone-subconvexlikeness  epsilon-weak minimal solutions  
Vector network equilibrium problems and nonlinear scalarization methods 期刊论文
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1999, 卷号: 49, 期号: 2, 页码: 239-253
作者:  Chen, GY;  Goh, CJ;  Yang, XQ
收藏  |  浏览/下载:80/0  |  提交时间:2018/07/30
multicriteria network equilibrium  scalarization methods  strictly monotone functions  variational inequalities