Abstract | ||
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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 |
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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 Ansari | 1 | 66 | 16.36 |
Siegfried Schaible | 2 | 148 | 25.89 |
Jen-chih Yao | 3 | 504 | 100.09 |