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A general vector-valued variational inequality and its fuzzy extension. (English) Zbl 0919.47057
Summary: A general vector-valued variational inequality (GVVI) is considered. We establish the existence theorem for (GVVI) in the noncompact setting, which is a noncompact generalization of the existence theorem for (GVVI) obtained by Lee et al., by using the generalized form of KKM theorem due to Park. Moreover, we obtain the fuzzy extension of our existence theorem.

MSC:
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47S40 Fuzzy operator theory
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