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Vector equilibrium problems and vector variational inequalities. (English) Zbl 0992.49012
Giannessi, Franco (ed.), Vector variational inequalities and vector equilibria. Mathematical theories. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 38, 1-15 (2000).
Summary: We consider vector equilibrium problems and prove the existence of their solutions in the setting of Hausdorff topological vector spaces. We also derive some existence results for the scalar and vector variational inequalities.
MSC:
49J40Variational methods including variational inequalities
90C29Multi-objective programming; goal programming
91B52Special types of equilibria in economics
47J20Inequalities involving nonlinear operators