摘要
主要讨论在有限维空间中变分不等式问题的扰动分析,假设一个强制性条件成立,对变分不等式涉及的映射F及相应的集合K都做了扰动后,证明扰动后的变分不等式解集非空.与已有文献相比,该扰动分析没有假设映射F的单调性.
This paper discusses the perturbed variational inequalities in finite dimensional spaces. It is shown that if a coercivity condition holds and both the mapping F and the constraint set K of the variational inequality are perturbed,the perturbed variational inequality has a solution. Compared with the existing literature,the perturbation analysis does not assume any monotonicity of the mapping F.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2016年第5期625-629,共5页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(11271274)
关键词
变分不等式
上半连续
集值映射
扰动
variational inequalities
upper semi-continuous
set-valued mapping
perturbation
