Equilibrium problems in the quasimonotone case

被引：13

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; equilibrium problems; quasimonotone vector-valued bifunctions; variational inequalities;

D O I：

10.1007/s10957-005-2664-3

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：

Existence results for quasimonotone vector equilibrium problems and quasimonotone vector variational inequalities are obtained starting from an existence result for a scalar equilibrium problem involving two quasimonotone bifunctions. These results are established under weaker conditions than in previous works.

引用

页码：125 / 136

页数：12

共 50 条

[1] Equilibrium Problems in the Quasimonotone Case
M. Fakhar
J. Zafarani
[J]. Journal of Optimization Theory and Applications, 2005, 126 : 125 - 136
[2] From Scalar to Vector Equilibrium Problems in the Quasimonotone Case
N. Hadjisavvas
S. Schaible
[J]. Journal of Optimization Theory and Applications, 1998, 96 : 297 - 309
[3] From scalar to vector equilibrium problems in the quasimonotone case
Hadjisavvas, N
Schaible, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1998, 96 (02) : 297 - 309
[4] A note on equilibrium problems with properly quasimonotone bifunctions
Bianchi, M
Pini, R
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2001, 20 (01) : 67 - 76
[5] A Note on Equilibrium Problems with Properly Quasimonotone Bifunctions
M. Bianchi
R. Pini
[J]. Journal of Global Optimization, 2001, 20 : 67 - 76
[6] Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions
M. Fakhar
J. Zafarani
[J]. Journal of Optimization Theory and Applications, 2004, 123 : 349 - 364
[7] Generalized equilibrium problems for quasimonotone and pseudomonotone bifunctions
Fakhar, M
Zafarani, J
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (02) : 349 - 364
[8] Refinements of existence results for relaxed quasimonotone equilibrium problems
M. Castellani
M. Giuli
[J]. Journal of Global Optimization, 2013, 57 : 1213 - 1227
[9] Refinements of existence results for relaxed quasimonotone equilibrium problems
Castellani, M.
Giuli, M.
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (04) : 1213 - 1227
[10] Existence results for φ-quasimonotone equilibrium problems in convex metric spaces
Jafari, S.
Farajzadeh, A. P.
Moradi, S.
Khanh, P. Q.
[J]. OPTIMIZATION, 2017, 66 (03) : 293 - 310

← 1 2 3 4 5 →