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ON MINIMAX VARIATIONAL INEQUALITY PROBLEMS FOR RELAXED α-PSEUDOMONOTONE AND GENERALIZED LIPSCHITZ MAPPINGS
被引:0
作者
:
Buranakorn, Kan
论文数:
0
引用数:
0
h-index:
0
机构:
Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
Buranakorn, Kan
[
1
]
论文数:
引用数:
h-index:
机构:
Plubtieng, Somyot
[
1
,
2
]
机构
:
[1]
Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[2]
Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand
来源
:
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
|
2015年
/ 16卷
/ 11期
关键词
:
MONOTONE-OPERATORS;
BANACH-SPACES;
D O I
:
暂无
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
In this paper, we obtain some sufficient conditions the solution existence of minimax variational inequality problems for relaxed alpha-pseudomonotone mappings in reflexive Banach spaces, and generalized Lipschiz mappings in Hilbert spaces.
引用
收藏
页码:2311 / 2321
页数:11
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Variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
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Zhou, Shu-Zi
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Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China
Ni, Gu-Yan
[J].
APPLIED MATHEMATICS LETTERS,
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: 547
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554
[2]
On the semi-monotone operator theory and applications
Chen, YQ
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Ohio Univ, Dept Math, Athens, OH 45701 USA
Ohio Univ, Dept Math, Athens, OH 45701 USA
Chen, YQ
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1999,
231
(01)
: 177
-
192
[3]
Convergence theorem for zeros of generalized Lipschitz generalized PHI-quasi-accretive operators
Chidume, CE
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Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
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[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
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: 243
-
251
[4]
Variational-like inequalities with generalized monotone mappings in Banach spaces
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机构:
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
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Huang, NJ
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0
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Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
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[J].
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[5]
A generalized vector variational inequality problem with a set-valued semi-monotone mapping
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0
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0
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Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
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Fang, Zheng
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2008,
69
(5-6)
: 1824
-
1829
[6]
Goeleven D., 1996, COMMUN APPL NONLINEA, V3, P1
[7]
Quasimonotone variational inequalities in Banach spaces
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UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
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Hadjisavvas, N
Schaible, S
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UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
Schaible, S
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1996,
90
(01)
: 95
-
111
[8]
Hadjisavvas N, 1998, NONCON OPTIM ITS APP, V27, P257
[9]
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[10]
On the solution existence of pseudomonotone variational inequalities
Kien, B. T.
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0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Kien, B. T.
Yao, J. -C.
论文数:
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引用数:
0
h-index:
0
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Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
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Yen, N. D.
[J].
JOURNAL OF GLOBAL OPTIMIZATION,
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←
1
2
→
共 19 条
[1]
Variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
Bai, Min-Ru
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China
Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China
Bai, Min-Ru
Zhou, Shu-Zi
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China
Zhou, Shu-Zi
Ni, Gu-Yan
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China
Ni, Gu-Yan
[J].
APPLIED MATHEMATICS LETTERS,
2006,
19
(06)
: 547
-
554
[2]
On the semi-monotone operator theory and applications
Chen, YQ
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio Univ, Dept Math, Athens, OH 45701 USA
Ohio Univ, Dept Math, Athens, OH 45701 USA
Chen, YQ
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1999,
231
(01)
: 177
-
192
[3]
Convergence theorem for zeros of generalized Lipschitz generalized PHI-quasi-accretive operators
Chidume, CE
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Chidume, CE
Chidume, CO
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Chidume, CO
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2006,
134
(01)
: 243
-
251
[4]
Variational-like inequalities with generalized monotone mappings in Banach spaces
Fang, YP
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Fang, YP
Huang, NJ
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China
Huang, NJ
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
2003,
118
(02)
: 327
-
338
[5]
A generalized vector variational inequality problem with a set-valued semi-monotone mapping
Fang, Zheng
论文数:
0
引用数:
0
h-index:
0
机构:
Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
Fang, Zheng
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2008,
69
(5-6)
: 1824
-
1829
[6]
Goeleven D., 1996, COMMUN APPL NONLINEA, V3, P1
[7]
Quasimonotone variational inequalities in Banach spaces
Hadjisavvas, N
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
Hadjisavvas, N
Schaible, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521
Schaible, S
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1996,
90
(01)
: 95
-
111
[8]
Hadjisavvas N, 1998, NONCON OPTIM ITS APP, V27, P257
[9]
Hadjisavvas N., 2005, Handbook of Generalized Convexity and Generalized Monotonicity, VVolume 76
[10]
On the solution existence of pseudomonotone variational inequalities
Kien, B. T.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Kien, B. T.
Yao, J. -C.
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Yao, J. -C.
Yen, N. D.
论文数:
0
引用数:
0
h-index:
0
机构:
Vietnamese Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam
Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan
Yen, N. D.
[J].
JOURNAL OF GLOBAL OPTIMIZATION,
2008,
41
(01)
: 135
-
145
←
1
2
→