The concept of vector variational inequality was introduced by Gian-nessi in 1980. Since then, various vector variational inequalities and their applications to multiobjective (vector) optimization problems have been studied. Very recently, many authors have investigated the connectedness of solution sets of vector variational inequalities. In this paper, we study the connectedness of solution sets for affine vector variational inequalities with 2x2 monotone matrices. Moreover, we give examples to clarify our result on the connectedness.
展开▼
