Park, Sehie; Lee, Byung-Soo; Lee, Gue Myung A general vector-valued variational inequality and its fuzzy extension. (English) Zbl 0919.47057 Int. J. Math. Math. Sci. 21, No. 4, 637-642 (1998). 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. Cited in 5 Documents MSC: 47J20 Variational and other types of inequalities involving nonlinear operators (general) 47S40 Fuzzy operator theory Keywords:fuzzy extension; vector-valued variational inequality; existence theorem; KKM theorem PDF BibTeX XML Cite \textit{S. Park} et al., Int. J. Math. Math. Sci. 21, No. 4, 637--642 (1998; Zbl 0919.47057) Full Text: DOI EuDML