Weak sharp minima in multicriteria linear programming

2004-2005 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe

Weak sharpness for gap functions in vector variational inequalities

a b s t r a c t In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results