摘要
在一定的广义凸性条件下研究了变分不等式的解与非光滑向量优化问题的拟近似解之间的关系,并在拟近似伪凸的条件下,证明了向量优化问题的临界点和拟近似弱有效解与变分不等式的解之间的等价性.
In this paper ,we consider the relations between vector variational inequality problems and nons‐mooth vector optimization problems under generalized convexity assumptions and ,under quasi approxi‐mate convexity assumptions ,identify the critical points of vector optimization problems and the equiva‐lence between the weak quasi approximate efficient solutions and the solutions of variational inequalities .
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第1期98-102,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金(11201511)
重庆市教委项目(KJ1500309
KJ1400519)
重庆市科委项目(cstc2015jcyjA0483)
关键词
非光滑向量优化
变分不等式
拟近似伪凸
nonsmooth vector optimization
variational inequality
quasi-approximate convexity
