98-A31:

    Title: On monotone and strongly monotone vector variational inequalities
    Author: Nguyen Dong Yen and  Gue Myung Lee
    Abstract: By constructing an example we show that the solution sets of a strongly monotone vector variational inequality
and of its relaxed inequality can be different from each other. A sufficient condition for the coincidence of these solution sets is given for general vector variational inequalities; connectedness and path-connectedness of the solution sets for some
kinds of monotone problems in Hilbert spaces are studied in detail.