Convergence results for weak efficiency in vector optimization problems with equilibrium constraints

被引:7
作者
Wu, YN [1 ]
Cheng, TCE
机构
[1] Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China
[2] Hong Kong Polytech Univ, Dept Logist, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
vector optimization problems with equilibrium constraints; weak efficiency; lower convergence; upper convergence;
D O I
10.1007/s10957-004-1860-x
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
In this paper, we consider weak efficiency in vector optimization problems with equilibrium constraints. We obtain results on the convergence of the marginal map, the value, and the solution sets.
引用
收藏
页码:453 / 472
页数:20
相关论文
共 12 条
[1]  
Attouch H., 1984, APPL MATH SERIES
[2]  
Blum E., 1993, MATH STUDENT, V63, P1
[3]   Stability results for Ekeland's ε variational principle for vector valued functions [J].
Chen, GY ;
Huang, XX .
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1998, 48 (01) :97-103
[4]  
CHEN GY, IN PRESS NONLINEAR S
[5]   NONCONVEX SEPARATION THEOREMS AND SOME APPLICATIONS IN VECTOR OPTIMIZATION [J].
GERTH, C ;
WEIDNER, P .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (02) :297-320
[6]  
Luc DT., 1989, LECT NOTES EC MATH S
[7]  
Luo ZQ, 1996, MATH PROGRAMS EQUILI, DOI DOI 10.1017/CBO9780511983658
[8]  
NICHOLLS MG, 1995, APPL NONLINEAR BILEV
[9]  
SAWARAGI Y, 1985, THEOYR MULTIOBJECTIV
[10]  
Suh S., 1992, Annals of Operations Research, V34, P203, DOI 10.1007/BF02098180