Title
The system of generalized vector equilibrium problems with applications
Abstract
In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions.
Year
DOI
Venue
2002
10.1023/A:1013857924393
J. Global Optimization
Keywords
Field
DocType
Vector equilibrium problem,Vector variational inequality,Vector optimization problem,Nash equilibrium problem,Maximal element theorem
Mathematical economics,Mathematical optimization,Mathematical analysis,Complementarity theory,Inequality,Maximal element,Nash equilibrium,Mathematics,Variational inequality
Journal
Volume
Issue
ISSN
22
1-4
1573-2916
Citations 
PageRank 
References 
19
3.20
2
Authors
3
Name
Order
Citations
PageRank
Qamrul Hasan Ansari16616.36
Siegfried Schaible214825.89
Jen-chih Yao3504100.09