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.