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Vietnam Journal of Mathematics 33:3 (2005) 291-308  The Existence of Solutions to Generalized Bilevel Vector Optimization Problems Nguyen Ba Minh and Nguyen Xuan Tan 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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