Generalized vector equilibrium problems for pseudomonotone multivalued bifunctions

被引：33

作者：

Fakhar, M ^{[1
]}

Zafarani, J ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 126卷 / 01期

关键词：

KKM maps; generalized vector equilibrium problems; pseudomonotone multivalued bifunctions; vector variational problems; KKM properties;

D O I：

10.1007/s10957-005-2663-4

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 apply a new version of the Brezis, Nirenberg, and Stampacchia theorem; we use pseudomonotonicity and some coercivity conditions to establish some existence result for a solution of generalized vector equilibrium problems for multivalued bifunctions. The proper quasiconvexity of multivalued bifunctions is introduced and existence theorems for generalized vector equilibrium problems related to multivalued mappings with the KKM property are obtained. The new results extend and modify various existence theorems for similar problems.

引用

页码：109 / 124

页数：16

共 31 条

[1] ANSARI, 2000, J OPTIMIZATION THEOR, V106, P487
[2] On generalized vector equilibrium problems
Ansari, QH
Konnov, IV
Yao, JC
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 543 - 554
[3] Existence and duality of generalized vector equilibrium problems
Ansari, QH
Siddiqi, AH
Wu, SY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) : 115 - 126
[4] An existence result for the generalized vector equilibrium problem
Ansari, QH
Yao, JC
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (08) : 53 - 56
[5] Vector equilibrium problems with generalized monotone bifunctions
Bianchi, M
Hadjisavvas, N
Schaible, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 92 (03) : 527 - 542
[6] Generalized monotone bifunctions and equilibrium problems
Bianchi, M
Schaible, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 90 (01) : 31 - 43
[7] Blum E., 1994, MATH STUDENT, V63, P127
[8] Brezis, 1972, B UNIONE MAT ITAL, V6, P293
[9] Topological pseudomonotonicity and vector equilibrium problems
Chadli, O
Chiang, Y
Huang, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (02) : 435 - 450
[10] Chadli O, 2000, J GLOBAL OPTIM, V16, P33

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