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System of vector equilibrium problems and its applications. (English) Zbl 0972.49009
Summary: We introduce a system of vector equilibrium problems and prove the existence of a solution. As an application, we derive some existence results for the system of vector variational inequalities. We also establish some existence results for the system of vector optimization problems, which includes the Nash equilibrium problem as a special case.

MSC:
49J40 Variational inequalities
90C29 Multi-objective and goal programming
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