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Equilibrium problems and variational inequalities in topological vector spaces
Abstract:An existence result for the equilibrium problem is proved in a general topological vector space. As applications, existence results are derived for variational inequality problems, vector equilibrium problems and vector variational inequality problems. Our results extend and unify a number of existence theorems in non-compact cases
Keywords:equilibrium problem  topological vector space  upper sign continuity  monotonicity  variational inequality
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