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广义向量拟似变分不等式的通有稳定性和本质连通区

李盛强

重庆理工大学学报:自然科学2012,Vol.26Issue(11):115-122,8.
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

李盛强1

作者信息

  • 1. 重庆大学数学与统计学院,重庆401331
  • 折叠

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 ()

重庆理工大学学报:自然科学

OACSTPCD

1674-8425

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