AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY

Sang-Ho Kum, Won-Kyu Kim
2006 Communications of the Korean Mathematical Society  
In this paper, we shall give an affirmative answer to the question raised by Kim and Tan [1] dealing with generalized vector quasi-variational inequalities which generalize many existence results on (VVI) and (GVQVI) in the literature. Using the maximal element theorem, we derive two theorems on the existence of weak solutions of (GVQVI), one theorem on the existence of strong solution of (GVQVI), and one theorem on strong solution in the 1-dimensional case.
doi:10.4134/ckms.2006.21.2.273 fatcat:ni3ampfarvfexkjlb5ke5mraoe