%0 Journal Article
%T 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
%A Hui YANG
%A Jian YU
%A
杨辉
%A 俞建
%J 系统科学与数学
%D 2002
%I
%X 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.
%K Generalized vector variational-like inequality problem (GVVLIP)
%K usco map-ping
%K essential solution
%K essential component
广义向量似变分不等式(GVVLIP)
%K usco映射
%K 本质解
%K 本质连通区
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=8F650047EA93948E&yid=C3ACC247184A22C1&vid=BC12EA701C895178&iid=CA4FD0336C81A37A&sid=711B11BDE182C51E&eid=AA0DBB55A2D3B422&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=10&reference_num=10