重庆理工大学学报:自然科学2012,Vol.26Issue(11):115-122,8.
广义向量拟似变分不等式的通有稳定性和本质连通区
The Stability and the Existence of Essential Components of the Solution Sets for generalized vector quasi-variational-like inequalities
摘要
Abstract
This paper applies the existence theorem of the solution for generalized vector quasi-variational-like inequalities(GVQVLI) to construct a functional space M satisfying the existence theorem,proves the completeness of functional space M,and also discusses the stability of the solution sets for generalized vector quasi-variational-like inequalities,and obtains an important conclusion that the mapping which maps the M to the solution sets is usco.Then,this paper introduces the notion of essential connected components for the solution sets and proves that every solution set for generalized vector quasi-variational-like inequalities has at least one essential connected components.Finally,we study the stability of essential connected components for the solution sets.关键词
广义拟似变分不等式/本质连通区/usco映射/解集稳定性Key words
generalized vector quasi-variational-like inequalities/essential connected components/usco mapping/the stability of solution sets分类
数理科学引用本文复制引用
李盛强..广义向量拟似变分不等式的通有稳定性和本质连通区[J].重庆理工大学学报:自然科学,2012,26(11):115-122,8.基金项目
国家自然科学基金资助项目 ()