Survey on Vector Complementarity Problems

被引:5
|
作者
Giannessi, F. [2 ]
Mastroeni, G. [2 ]
Yang, X. Q. [1 ]
机构
[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[2] Univ Pisa, Dept Math, Pisa, Italy
关键词
Vector Complementarity Problem; Vector variational inequality; Vector optimization problem; Minimal element problem; LEAST-ELEMENT PROBLEMS; VARIATIONAL-INEQUALITIES; MINIMAL ELEMENT; EQUIVALENCE; OPTIMIZATION; EQUILIBRIA; EXISTENCE; SPACES;
D O I
10.1007/s10898-011-9655-8
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The paper aims at summarizing the main results on Vector Complementarity Problems (VCP), including the existence of a solution and the relations with Vector Variational Inequalities and Vector Optimization Problems. Particular attention will be given to a VCP with a variable domination structure, where the ordering cone depends on the unknown variable.
引用
收藏
页码:53 / 67
页数:15
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