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Abstract. Generalized bilevel vector
optimization problems are formulated and some sufficient conditions on the
existence of solutions for generalized bilevel weakly, Pareto and ideal
problems are shown. As special case, we obtain results on the existence of
solutions to generalized bilevel programming problems given by Lignola and
Morgan. These also include a large number of results concerning variational
and quasi-variational inequalities, equilibrium and quasi-equilibrium
problems.
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