International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 4, Pages 637-642
doi:10.1155/S0161171298000891

A general vector-valued variational inequality and its fuzzy extension

Sehie Park,1 Byung-Soo Lee,2 and Gue Myung Lee3

 1Department of Mathematics, Seoul National University, Seoul 151-742, Korea
2Department of Mathematics, Kyungmng University, Pusan 608-736, Korea
3Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea
Received 12 December 1996

Abstract

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.