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J. Korean Math. Soc. 1996; 33(3): 609-624
Printed September 1, 1996
Copyright © The Korean Mathematical Society.
Generalized vector-valued variational inequalities and fuzzy extensions
Byung Soo Lee, Gue Myung Lee, and Do Sang Kim
Kyungsung University, Pukyong National University, and Pukyong National University
Generalized vector-valued variational inequalities {\rm (GVVI)} are considered. We establish the existence theorems for {\rm (GVVI)}, by using the particular form of the generalized {\it KKM} theorem due to Park. Moreover, we obtain the fuzzy extensions of our existence theorems.
Keywords: Variational inequalities, existence theorems, fuzzy extensions, convexity, coercivity
MSC numbers: 47H19
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