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Chebyshev scalarization of solutions to the vector equilibrium problems
被引:3
作者
:
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
Gong, X. H.
[
1
]
机构
:
[1]
Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源
:
JOURNAL OF GLOBAL OPTIMIZATION
|
2011年
/ 49卷
/ 04期
基金
:
中国国家自然科学基金;
关键词
:
Vector equilibrium problem;
Chebyshev scalarization;
Weakly efficient solution;
Henig efficient solution;
Globally efficient solution;
Superefficient solution;
EFFICIENT SOLUTIONS;
SOLUTION SET;
CONNECTEDNESS;
D O I
:
10.1007/s10898-010-9553-5
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 give results on Chebyshev scalarization of weakly efficient solution, Henig efficient solution, globally efficient solution and superefficient solution to the vector equilibrium problems without convexity assumptions.
引用
收藏
页码:607 / 622
页数:16
相关论文
共 21 条
[1]
[Anonymous], 1970, LECT NOTES MATH
[2]
Blum E., 1994, Math. Stud., V63, P127
[3]
SUPER EFFICIENCY IN VECTOR OPTIMIZATION
BORWEIN, JM
论文数:
0
引用数:
0
h-index:
0
机构:
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
BORWEIN, JM
ZHUANG, D
论文数:
0
引用数:
0
h-index:
0
机构:
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
ZHUANG, D
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1993,
338
(01)
: 105
-
122
[4]
A nonlinear scalarization function and generalized quasi-vector equilibrium problems
Chen, GY
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Chen, GY
Yang, XQ
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Yang, XQ
Yu, H
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Yu, H
[J].
JOURNAL OF GLOBAL OPTIMIZATION,
2005,
32
(04)
: 451
-
466
[5]
On the connectedness of the solution set for the weak vector variational inequality
Cheng, YH
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Cheng, YH
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2001,
260
(01)
: 1
-
5
[6]
Chinchuluun A., 2008, NEW YORK SERIES SPRI, V17
[7]
Giannessi F, 2000, MATH THEORIES
[8]
Continuity of the solution set to parametric weak vector equilibrium problems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Gong, X. H.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
139
(01)
: 35
-
46
[9]
Lower semicontinuity of the set of efficient solutions for generalized systems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Gong, X. H.
Yao, J. C.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Yao, J. C.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
138
(02)
: 197
-
205
[10]
Connectedness of the set of efficient solutions for generalized systems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Gong, X. H.
Yao, J. C.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Yao, J. C.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
138
(02)
: 189
-
196
←
1
2
3
→
共 21 条
[1]
[Anonymous], 1970, LECT NOTES MATH
[2]
Blum E., 1994, Math. Stud., V63, P127
[3]
SUPER EFFICIENCY IN VECTOR OPTIMIZATION
BORWEIN, JM
论文数:
0
引用数:
0
h-index:
0
机构:
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
BORWEIN, JM
ZHUANG, D
论文数:
0
引用数:
0
h-index:
0
机构:
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
ZHUANG, D
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1993,
338
(01)
: 105
-
122
[4]
A nonlinear scalarization function and generalized quasi-vector equilibrium problems
Chen, GY
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Chen, GY
Yang, XQ
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Yang, XQ
Yu, H
论文数:
0
引用数:
0
h-index:
0
机构:
Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Yu, H
[J].
JOURNAL OF GLOBAL OPTIMIZATION,
2005,
32
(04)
: 451
-
466
[5]
On the connectedness of the solution set for the weak vector variational inequality
Cheng, YH
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Cheng, YH
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2001,
260
(01)
: 1
-
5
[6]
Chinchuluun A., 2008, NEW YORK SERIES SPRI, V17
[7]
Giannessi F, 2000, MATH THEORIES
[8]
Continuity of the solution set to parametric weak vector equilibrium problems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Gong, X. H.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
139
(01)
: 35
-
46
[9]
Lower semicontinuity of the set of efficient solutions for generalized systems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Gong, X. H.
Yao, J. C.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Yao, J. C.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
138
(02)
: 197
-
205
[10]
Connectedness of the set of efficient solutions for generalized systems
Gong, X. H.
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Gong, X. H.
Yao, J. C.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
Yao, J. C.
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2008,
138
(02)
: 189
-
196
←
1
2
3
→