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A general vector-valued variational inequality (GVVI) is considered. We establish theexistence theorem for (GVVI) in the noncompact setting, which is a noncompact generalization of theexistence theorem for (GVVI) obtained by Lee et al., by using the generalized form of KKM theorem dueto Park. Moreover, we obtain the fuzzy extension of our existence theorem

A general vector-valued variational inequality and its fuzzy extension