【摘要】 本文研究广义向量似变分不等式解集的稳定性．证明了在满足一定的连续性和凸 性条件的广义向量似变分不等式问题构成的空间Ｍ中，大多数（在Ｂａｉｒｅ分类意下）广 义向量似变分不等式问题的解集是稳定的，并证明了Ｍ中的每个广义向量似变分不等式 的解集至少存在一个本质连通区。更多还原

【Abstract】 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.更多还原