THE GENERIC STABILITY AND THE EXISTENCE OF ESSENTIAL COMPONENTS OF THE SOLUTION SETS FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES
广义向量似变分不等式解集的通有稳定性及本质连通区的存在性

In this paper, we study the stability of the solution sets for generalized vector variational-like inequality problems. We prove that, in the space M consisting of generalized vector variational-like inequality problems satisfying some convexity and continuity conditions, most generalized vector variational-like inequality problems (in the sense of Baire category) have stable solution sets, and that for each problem in M, its solution set possesses at least one essential component.